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Finding the Fourth Proportional to 5,158.17, 7,132.23 and 5,074.77

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Solution

The fourth proportional to 5,158.17, 7,132.23 and 5,074.77 is: 7,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.17 : 7,132.23 = 5,074.77 : x
  2. Step 2: Convert to fraction form
    5,158.17/7,132.23 = 5,074.77/x
  3. Step 3: Cross multiply
    5,158.17x = 7,132.23 × 5,074.77
  4. Step 4: Simplify right side
    5,158.17x = 36,194,426.84
  5. Step 5: Solve for x
    x = 36,194,426.84/5,158.17
  6. Step 6: Final answer
    x = 7,016.91

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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.