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Finding the Fourth Proportional to 3,733.90, 5,153.04 and 2,472.76

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Solution

The fourth proportional to 3,733.90, 5,153.04 and 2,472.76 is: 3,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.90 : 5,153.04 = 2,472.76 : x
  2. Step 2: Convert to fraction form
    3,733.90/5,153.04 = 2,472.76/x
  3. Step 3: Cross multiply
    3,733.90x = 5,153.04 × 2,472.76
  4. Step 4: Simplify right side
    3,733.90x = 12,742,231.19
  5. Step 5: Solve for x
    x = 12,742,231.19/3,733.90
  6. Step 6: Final answer
    x = 3,412.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.