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Finding the Fourth Proportional to 4,123.64, 6,188.54 and 2,565.91

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Solution

The fourth proportional to 4,123.64, 6,188.54 and 2,565.91 is: 3,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.64 : 6,188.54 = 2,565.91 : x
  2. Step 2: Convert to fraction form
    4,123.64/6,188.54 = 2,565.91/x
  3. Step 3: Cross multiply
    4,123.64x = 6,188.54 × 2,565.91
  4. Step 4: Simplify right side
    4,123.64x = 15,879,231.58
  5. Step 5: Solve for x
    x = 15,879,231.58/4,123.64
  6. Step 6: Final answer
    x = 3,850.78

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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.