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Finding the Fourth Proportional to 5,209.84, 7,182.10 and 3,715.17

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Solution

The fourth proportional to 5,209.84, 7,182.10 and 3,715.17 is: 5,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.84 : 7,182.10 = 3,715.17 : x
  2. Step 2: Convert to fraction form
    5,209.84/7,182.10 = 3,715.17/x
  3. Step 3: Cross multiply
    5,209.84x = 7,182.10 × 3,715.17
  4. Step 4: Simplify right side
    5,209.84x = 26,682,722.46
  5. Step 5: Solve for x
    x = 26,682,722.46/5,209.84
  6. Step 6: Final answer
    x = 5,121.60

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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.