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Finding the Fourth Proportional to 3,802.57, 5,251.17 and 3,595.50

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Solution

The fourth proportional to 3,802.57, 5,251.17 and 3,595.50 is: 4,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.57 : 5,251.17 = 3,595.50 : x
  2. Step 2: Convert to fraction form
    3,802.57/5,251.17 = 3,595.50/x
  3. Step 3: Cross multiply
    3,802.57x = 5,251.17 × 3,595.50
  4. Step 4: Simplify right side
    3,802.57x = 18,880,581.74
  5. Step 5: Solve for x
    x = 18,880,581.74/3,802.57
  6. Step 6: Final answer
    x = 4,965.22

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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.