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Finding the Fourth Proportional to 5,098.50, 7,047.72 and 4,254.30

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Solution

The fourth proportional to 5,098.50, 7,047.72 and 4,254.30 is: 5,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.50 : 7,047.72 = 4,254.30 : x
  2. Step 2: Convert to fraction form
    5,098.50/7,047.72 = 4,254.30/x
  3. Step 3: Cross multiply
    5,098.50x = 7,047.72 × 4,254.30
  4. Step 4: Simplify right side
    5,098.50x = 29,983,115.20
  5. Step 5: Solve for x
    x = 29,983,115.20/5,098.50
  6. Step 6: Final answer
    x = 5,880.77

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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.