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Finding the Fourth Proportional to 5,298, 7,306.12 and 4,117.20

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Solution

The fourth proportional to 5,298, 7,306.12 and 4,117.20 is: 5,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298 : 7,306.12 = 4,117.20 : x
  2. Step 2: Convert to fraction form
    5,298/7,306.12 = 4,117.20/x
  3. Step 3: Cross multiply
    5,298x = 7,306.12 × 4,117.20
  4. Step 4: Simplify right side
    5,298x = 30,080,757.26
  5. Step 5: Solve for x
    x = 30,080,757.26/5,298
  6. Step 6: Final answer
    x = 5,677.76

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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.