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Finding the Fourth Proportional to 5,213.66, 7,195.47 and 3,117.74

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Solution

The fourth proportional to 5,213.66, 7,195.47 and 3,117.74 is: 4,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.66 : 7,195.47 = 3,117.74 : x
  2. Step 2: Convert to fraction form
    5,213.66/7,195.47 = 3,117.74/x
  3. Step 3: Cross multiply
    5,213.66x = 7,195.47 × 3,117.74
  4. Step 4: Simplify right side
    5,213.66x = 22,433,604.64
  5. Step 5: Solve for x
    x = 22,433,604.64/5,213.66
  6. Step 6: Final answer
    x = 4,302.85

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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.