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Finding the Fourth Proportional to 5,304.34, 7,947.02 and 3,544.01

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Solution

The fourth proportional to 5,304.34, 7,947.02 and 3,544.01 is: 5,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.34 : 7,947.02 = 3,544.01 : x
  2. Step 2: Convert to fraction form
    5,304.34/7,947.02 = 3,544.01/x
  3. Step 3: Cross multiply
    5,304.34x = 7,947.02 × 3,544.01
  4. Step 4: Simplify right side
    5,304.34x = 28,164,320.50
  5. Step 5: Solve for x
    x = 28,164,320.50/5,304.34
  6. Step 6: Final answer
    x = 5,309.68

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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.