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Finding the Fourth Proportional to 3,491.34, 5,237.13 and 1,151.40

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Solution

The fourth proportional to 3,491.34, 5,237.13 and 1,151.40 is: 1,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.34 : 5,237.13 = 1,151.40 : x
  2. Step 2: Convert to fraction form
    3,491.34/5,237.13 = 1,151.40/x
  3. Step 3: Cross multiply
    3,491.34x = 5,237.13 × 1,151.40
  4. Step 4: Simplify right side
    3,491.34x = 6,030,035.80
  5. Step 5: Solve for x
    x = 6,030,035.80/3,491.34
  6. Step 6: Final answer
    x = 1,727.14

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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.