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Finding the Fourth Proportional to 5,182.65, 7,152.03 and 2,824.77

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Solution

The fourth proportional to 5,182.65, 7,152.03 and 2,824.77 is: 3,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.65 : 7,152.03 = 2,824.77 : x
  2. Step 2: Convert to fraction form
    5,182.65/7,152.03 = 2,824.77/x
  3. Step 3: Cross multiply
    5,182.65x = 7,152.03 × 2,824.77
  4. Step 4: Simplify right side
    5,182.65x = 20,202,839.78
  5. Step 5: Solve for x
    x = 20,202,839.78/5,182.65
  6. Step 6: Final answer
    x = 3,898.17

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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.