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Finding the Fourth Proportional to 3,697.12, 5,545.65 and 923.77

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Solution

The fourth proportional to 3,697.12, 5,545.65 and 923.77 is: 1,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.12 : 5,545.65 = 923.77 : x
  2. Step 2: Convert to fraction form
    3,697.12/5,545.65 = 923.77/x
  3. Step 3: Cross multiply
    3,697.12x = 5,545.65 × 923.77
  4. Step 4: Simplify right side
    3,697.12x = 5,122,905.10
  5. Step 5: Solve for x
    x = 5,122,905.10/3,697.12
  6. Step 6: Final answer
    x = 1,385.65

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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.