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Finding the Fourth Proportional to 3,732.70, 5,599.06 and 1,539.02

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Solution

The fourth proportional to 3,732.70, 5,599.06 and 1,539.02 is: 2,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.70 : 5,599.06 = 1,539.02 : x
  2. Step 2: Convert to fraction form
    3,732.70/5,599.06 = 1,539.02/x
  3. Step 3: Cross multiply
    3,732.70x = 5,599.06 × 1,539.02
  4. Step 4: Simplify right side
    3,732.70x = 8,617,065.32
  5. Step 5: Solve for x
    x = 8,617,065.32/3,732.70
  6. Step 6: Final answer
    x = 2,308.53

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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.