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Finding the Fourth Proportional to 5,242.46, 7,233.79 and 3,117.95

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Solution

The fourth proportional to 5,242.46, 7,233.79 and 3,117.95 is: 4,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.46 : 7,233.79 = 3,117.95 : x
  2. Step 2: Convert to fraction form
    5,242.46/7,233.79 = 3,117.95/x
  3. Step 3: Cross multiply
    5,242.46x = 7,233.79 × 3,117.95
  4. Step 4: Simplify right side
    5,242.46x = 22,554,595.53
  5. Step 5: Solve for x
    x = 22,554,595.53/5,242.46
  6. Step 6: Final answer
    x = 4,302.29

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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.