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Finding the Fourth Proportional to 3,588.70, 4,954.17 and 2,264.44

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Solution

The fourth proportional to 3,588.70, 4,954.17 and 2,264.44 is: 3,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.70 : 4,954.17 = 2,264.44 : x
  2. Step 2: Convert to fraction form
    3,588.70/4,954.17 = 2,264.44/x
  3. Step 3: Cross multiply
    3,588.70x = 4,954.17 × 2,264.44
  4. Step 4: Simplify right side
    3,588.70x = 11,218,420.71
  5. Step 5: Solve for x
    x = 11,218,420.71/3,588.70
  6. Step 6: Final answer
    x = 3,126.04

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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.