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Finding the Fourth Proportional to 5,182.59, 7,152.03 and 2,824.74

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Solution

The fourth proportional to 5,182.59, 7,152.03 and 2,824.74 is: 3,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.59 : 7,152.03 = 2,824.74 : x
  2. Step 2: Convert to fraction form
    5,182.59/7,152.03 = 2,824.74/x
  3. Step 3: Cross multiply
    5,182.59x = 7,152.03 × 2,824.74
  4. Step 4: Simplify right side
    5,182.59x = 20,202,625.22
  5. Step 5: Solve for x
    x = 20,202,625.22/5,182.59
  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.