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Finding the Fourth Proportional to 5,278.53, 7,275.98 and 4,157.69

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Solution

The fourth proportional to 5,278.53, 7,275.98 and 4,157.69 is: 5,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.53 : 7,275.98 = 4,157.69 : x
  2. Step 2: Convert to fraction form
    5,278.53/7,275.98 = 4,157.69/x
  3. Step 3: Cross multiply
    5,278.53x = 7,275.98 × 4,157.69
  4. Step 4: Simplify right side
    5,278.53x = 30,251,248.50
  5. Step 5: Solve for x
    x = 30,251,248.50/5,278.53
  6. Step 6: Final answer
    x = 5,731.00

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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.