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Finding the Fourth Proportional to 5,038.02, 6,951.49 and 3,442.88

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Solution

The fourth proportional to 5,038.02, 6,951.49 and 3,442.88 is: 4,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.02 : 6,951.49 = 3,442.88 : x
  2. Step 2: Convert to fraction form
    5,038.02/6,951.49 = 3,442.88/x
  3. Step 3: Cross multiply
    5,038.02x = 6,951.49 × 3,442.88
  4. Step 4: Simplify right side
    5,038.02x = 23,933,115.56
  5. Step 5: Solve for x
    x = 23,933,115.56/5,038.02
  6. Step 6: Final answer
    x = 4,750.50

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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.