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Finding the Fourth Proportional to 4,661, 6,432.18 and 2,565.26

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Solution

The fourth proportional to 4,661, 6,432.18 and 2,565.26 is: 3,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661 : 6,432.18 = 2,565.26 : x
  2. Step 2: Convert to fraction form
    4,661/6,432.18 = 2,565.26/x
  3. Step 3: Cross multiply
    4,661x = 6,432.18 × 2,565.26
  4. Step 4: Simplify right side
    4,661x = 16,500,214.07
  5. Step 5: Solve for x
    x = 16,500,214.07/4,661
  6. Step 6: Final answer
    x = 3,540.06

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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.