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Finding the Fourth Proportional to 5,115.76, 7,059.70 and 2,877.64

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Solution

The fourth proportional to 5,115.76, 7,059.70 and 2,877.64 is: 3,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.76 : 7,059.70 = 2,877.64 : x
  2. Step 2: Convert to fraction form
    5,115.76/7,059.70 = 2,877.64/x
  3. Step 3: Cross multiply
    5,115.76x = 7,059.70 × 2,877.64
  4. Step 4: Simplify right side
    5,115.76x = 20,315,275.11
  5. Step 5: Solve for x
    x = 20,315,275.11/5,115.76
  6. Step 6: Final answer
    x = 3,971.12

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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.