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Finding the Fourth Proportional to 5,182.04, 7,150.98 and 2,824.10

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Solution

The fourth proportional to 5,182.04, 7,150.98 and 2,824.10 is: 3,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.04 : 7,150.98 = 2,824.10 : x
  2. Step 2: Convert to fraction form
    5,182.04/7,150.98 = 2,824.10/x
  3. Step 3: Cross multiply
    5,182.04x = 7,150.98 × 2,824.10
  4. Step 4: Simplify right side
    5,182.04x = 20,195,082.62
  5. Step 5: Solve for x
    x = 20,195,082.62/5,182.04
  6. Step 6: Final answer
    x = 3,897.13

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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.