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Finding the Fourth Proportional to 3,710.96, 5,565.57 and 1,077.77

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Solution

The fourth proportional to 3,710.96, 5,565.57 and 1,077.77 is: 1,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.96 : 5,565.57 = 1,077.77 : x
  2. Step 2: Convert to fraction form
    3,710.96/5,565.57 = 1,077.77/x
  3. Step 3: Cross multiply
    3,710.96x = 5,565.57 × 1,077.77
  4. Step 4: Simplify right side
    3,710.96x = 5,998,404.38
  5. Step 5: Solve for x
    x = 5,998,404.38/3,710.96
  6. Step 6: Final answer
    x = 1,616.40

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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.