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Finding the Fourth Proportional to 3,506.90, 5,252.80 and 1,655.24

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Solution

The fourth proportional to 3,506.90, 5,252.80 and 1,655.24 is: 2,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.90 : 5,252.80 = 1,655.24 : x
  2. Step 2: Convert to fraction form
    3,506.90/5,252.80 = 1,655.24/x
  3. Step 3: Cross multiply
    3,506.90x = 5,252.80 × 1,655.24
  4. Step 4: Simplify right side
    3,506.90x = 8,694,644.67
  5. Step 5: Solve for x
    x = 8,694,644.67/3,506.90
  6. Step 6: Final answer
    x = 2,479.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.