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Finding the Fourth Proportional to 5,209,655.97, 7,815,725.52 and 1,797,972.01

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Solution

The fourth proportional to 5,209,655.97, 7,815,725.52 and 1,797,972.01 is: 2,697,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,655.97 : 7,815,725.52 = 1,797,972.01 : x
  2. Step 2: Convert to fraction form
    5,209,655.97/7,815,725.52 = 1,797,972.01/x
  3. Step 3: Cross multiply
    5,209,655.97x = 7,815,725.52 × 1,797,972.01
  4. Step 4: Simplify right side
    5,209,655.97x = 14,052,455,703,263.38
  5. Step 5: Solve for x
    x = 14,052,455,703,263.38/5,209,655.97
  6. Step 6: Final answer
    x = 2,697,386.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.