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Finding the Fourth Proportional to 4,661.50, 6,432.89 and 2,565.82

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Solution

The fourth proportional to 4,661.50, 6,432.89 and 2,565.82 is: 3,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.50 : 6,432.89 = 2,565.82 : x
  2. Step 2: Convert to fraction form
    4,661.50/6,432.89 = 2,565.82/x
  3. Step 3: Cross multiply
    4,661.50x = 6,432.89 × 2,565.82
  4. Step 4: Simplify right side
    4,661.50x = 16,505,637.82
  5. Step 5: Solve for x
    x = 16,505,637.82/4,661.50
  6. Step 6: Final answer
    x = 3,540.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.