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Finding the Fourth Proportional to 3,710.46, 5,565.69 and 2,976.42

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Solution

The fourth proportional to 3,710.46, 5,565.69 and 2,976.42 is: 4,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.46 : 5,565.69 = 2,976.42 : x
  2. Step 2: Convert to fraction form
    3,710.46/5,565.69 = 2,976.42/x
  3. Step 3: Cross multiply
    3,710.46x = 5,565.69 × 2,976.42
  4. Step 4: Simplify right side
    3,710.46x = 16,565,831.03
  5. Step 5: Solve for x
    x = 16,565,831.03/3,710.46
  6. Step 6: Final answer
    x = 4,464.63

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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.