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Finding the Fourth Proportional to 3,506.24, 5,259.30 and 1,658.24

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Solution

The fourth proportional to 3,506.24, 5,259.30 and 1,658.24 is: 2,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.24 : 5,259.30 = 1,658.24 : x
  2. Step 2: Convert to fraction form
    3,506.24/5,259.30 = 1,658.24/x
  3. Step 3: Cross multiply
    3,506.24x = 5,259.30 × 1,658.24
  4. Step 4: Simplify right side
    3,506.24x = 8,721,181.63
  5. Step 5: Solve for x
    x = 8,721,181.63/3,506.24
  6. Step 6: Final answer
    x = 2,487.33

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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.