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Finding the Fourth Proportional to 3,251.76, 4,877.28 and 2,606.40

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Solution

The fourth proportional to 3,251.76, 4,877.28 and 2,606.40 is: 3,909.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.76 : 4,877.28 = 2,606.40 : x
  2. Step 2: Convert to fraction form
    3,251.76/4,877.28 = 2,606.40/x
  3. Step 3: Cross multiply
    3,251.76x = 4,877.28 × 2,606.40
  4. Step 4: Simplify right side
    3,251.76x = 12,712,142.59
  5. Step 5: Solve for x
    x = 12,712,142.59/3,251.76
  6. Step 6: Final answer
    x = 3,909.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.