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Finding the Fourth Proportional to 3,737.14, 5,606.52 and 1,140.28

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Solution

The fourth proportional to 3,737.14, 5,606.52 and 1,140.28 is: 1,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.14 : 5,606.52 = 1,140.28 : x
  2. Step 2: Convert to fraction form
    3,737.14/5,606.52 = 1,140.28/x
  3. Step 3: Cross multiply
    3,737.14x = 5,606.52 × 1,140.28
  4. Step 4: Simplify right side
    3,737.14x = 6,393,002.63
  5. Step 5: Solve for x
    x = 6,393,002.63/3,737.14
  6. Step 6: Final answer
    x = 1,710.67

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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.