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Finding the Fourth Proportional to 5,191.76, 7,162.13 and 3,398.45

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Solution

The fourth proportional to 5,191.76, 7,162.13 and 3,398.45 is: 4,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.76 : 7,162.13 = 3,398.45 : x
  2. Step 2: Convert to fraction form
    5,191.76/7,162.13 = 3,398.45/x
  3. Step 3: Cross multiply
    5,191.76x = 7,162.13 × 3,398.45
  4. Step 4: Simplify right side
    5,191.76x = 24,340,146.61
  5. Step 5: Solve for x
    x = 24,340,146.61/5,191.76
  6. Step 6: Final answer
    x = 4,688.23

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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.