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Finding the Fourth Proportional to 3,722.94, 5,585.58 and 1,532.70

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Solution

The fourth proportional to 3,722.94, 5,585.58 and 1,532.70 is: 2,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.94 : 5,585.58 = 1,532.70 : x
  2. Step 2: Convert to fraction form
    3,722.94/5,585.58 = 1,532.70/x
  3. Step 3: Cross multiply
    3,722.94x = 5,585.58 × 1,532.70
  4. Step 4: Simplify right side
    3,722.94x = 8,561,018.47
  5. Step 5: Solve for x
    x = 8,561,018.47/3,722.94
  6. Step 6: Final answer
    x = 2,299.53

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