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Finding the Fourth Proportional to 3,804,647.88, 5,707,172.52 and 964,784.64

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Solution

The fourth proportional to 3,804,647.88, 5,707,172.52 and 964,784.64 is: 1,447,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804,647.88 : 5,707,172.52 = 964,784.64 : x
  2. Step 2: Convert to fraction form
    3,804,647.88/5,707,172.52 = 964,784.64/x
  3. Step 3: Cross multiply
    3,804,647.88x = 5,707,172.52 × 964,784.64
  4. Step 4: Simplify right side
    3,804,647.88x = 5,506,192,385,126.09
  5. Step 5: Solve for x
    x = 5,506,192,385,126.09/3,804,647.88
  6. Step 6: Final answer
    x = 1,447,227.85

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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.