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Finding the Fourth Proportional to 5,913.76, 8,162.16 and 3,397.59

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Solution

The fourth proportional to 5,913.76, 8,162.16 and 3,397.59 is: 4,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.76 : 8,162.16 = 3,397.59 : x
  2. Step 2: Convert to fraction form
    5,913.76/8,162.16 = 3,397.59/x
  3. Step 3: Cross multiply
    5,913.76x = 8,162.16 × 3,397.59
  4. Step 4: Simplify right side
    5,913.76x = 27,731,673.19
  5. Step 5: Solve for x
    x = 27,731,673.19/5,913.76
  6. Step 6: Final answer
    x = 4,689.35

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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.