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Finding the Fourth Proportional to 3,522.59, 4,861.17 and 2,030.57

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Solution

The fourth proportional to 3,522.59, 4,861.17 and 2,030.57 is: 2,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.59 : 4,861.17 = 2,030.57 : x
  2. Step 2: Convert to fraction form
    3,522.59/4,861.17 = 2,030.57/x
  3. Step 3: Cross multiply
    3,522.59x = 4,861.17 × 2,030.57
  4. Step 4: Simplify right side
    3,522.59x = 9,870,945.97
  5. Step 5: Solve for x
    x = 9,870,945.97/3,522.59
  6. Step 6: Final answer
    x = 2,802.18

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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.