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Finding the Fourth Proportional to 3,585.52, 4,949.72 and 2,407.44

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Solution

The fourth proportional to 3,585.52, 4,949.72 and 2,407.44 is: 3,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.52 : 4,949.72 = 2,407.44 : x
  2. Step 2: Convert to fraction form
    3,585.52/4,949.72 = 2,407.44/x
  3. Step 3: Cross multiply
    3,585.52x = 4,949.72 × 2,407.44
  4. Step 4: Simplify right side
    3,585.52x = 11,916,153.92
  5. Step 5: Solve for x
    x = 11,916,153.92/3,585.52
  6. Step 6: Final answer
    x = 3,323.41

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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.