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Finding the Fourth Proportional to 4,661.68, 6,433.26 and 2,565.88

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Solution

The fourth proportional to 4,661.68, 6,433.26 and 2,565.88 is: 3,540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.68 : 6,433.26 = 2,565.88 : x
  2. Step 2: Convert to fraction form
    4,661.68/6,433.26 = 2,565.88/x
  3. Step 3: Cross multiply
    4,661.68x = 6,433.26 × 2,565.88
  4. Step 4: Simplify right side
    4,661.68x = 16,506,973.17
  5. Step 5: Solve for x
    x = 16,506,973.17/4,661.68
  6. Step 6: Final answer
    x = 3,540.99

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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.