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Finding the Fourth Proportional to 4,690.28, 6,472.49 and 2,565.80

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Solution

The fourth proportional to 4,690.28, 6,472.49 and 2,565.80 is: 3,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.28 : 6,472.49 = 2,565.80 : x
  2. Step 2: Convert to fraction form
    4,690.28/6,472.49 = 2,565.80/x
  3. Step 3: Cross multiply
    4,690.28x = 6,472.49 × 2,565.80
  4. Step 4: Simplify right side
    4,690.28x = 16,607,118.19
  5. Step 5: Solve for x
    x = 16,607,118.19/4,690.28
  6. Step 6: Final answer
    x = 3,540.75

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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.