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Finding the Fourth Proportional to 4,661.06, 6,432.57 and 2,565.18

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Solution

The fourth proportional to 4,661.06, 6,432.57 and 2,565.18 is: 3,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.06 : 6,432.57 = 2,565.18 : x
  2. Step 2: Convert to fraction form
    4,661.06/6,432.57 = 2,565.18/x
  3. Step 3: Cross multiply
    4,661.06x = 6,432.57 × 2,565.18
  4. Step 4: Simplify right side
    4,661.06x = 16,500,699.91
  5. Step 5: Solve for x
    x = 16,500,699.91/4,661.06
  6. Step 6: Final answer
    x = 3,540.12

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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.