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Finding the Fourth Proportional to 4,281.76, 5,909 and 2,513.28

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Solution

The fourth proportional to 4,281.76, 5,909 and 2,513.28 is: 3,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.76 : 5,909 = 2,513.28 : x
  2. Step 2: Convert to fraction form
    4,281.76/5,909 = 2,513.28/x
  3. Step 3: Cross multiply
    4,281.76x = 5,909 × 2,513.28
  4. Step 4: Simplify right side
    4,281.76x = 14,850,971.52
  5. Step 5: Solve for x
    x = 14,850,971.52/4,281.76
  6. Step 6: Final answer
    x = 3,468.43

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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.