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Finding the Fourth Proportional to 4,139.59, 5,712.64 and 2,276.59

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Solution

The fourth proportional to 4,139.59, 5,712.64 and 2,276.59 is: 3,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.59 : 5,712.64 = 2,276.59 : x
  2. Step 2: Convert to fraction form
    4,139.59/5,712.64 = 2,276.59/x
  3. Step 3: Cross multiply
    4,139.59x = 5,712.64 × 2,276.59
  4. Step 4: Simplify right side
    4,139.59x = 13,005,339.10
  5. Step 5: Solve for x
    x = 13,005,339.10/4,139.59
  6. Step 6: Final answer
    x = 3,141.70

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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.