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Finding the Fourth Proportional to 3,737.27, 5,605.70 and 1,140

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Solution

The fourth proportional to 3,737.27, 5,605.70 and 1,140 is: 1,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.27 : 5,605.70 = 1,140 : x
  2. Step 2: Convert to fraction form
    3,737.27/5,605.70 = 1,140/x
  3. Step 3: Cross multiply
    3,737.27x = 5,605.70 × 1,140
  4. Step 4: Simplify right side
    3,737.27x = 6,390,492.30
  5. Step 5: Solve for x
    x = 6,390,492.30/3,737.27
  6. Step 6: Final answer
    x = 1,709.94

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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.