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Finding the Fourth Proportional to 3,506.10, 5,259.69 and 1,658.22

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Solution

The fourth proportional to 3,506.10, 5,259.69 and 1,658.22 is: 2,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.10 : 5,259.69 = 1,658.22 : x
  2. Step 2: Convert to fraction form
    3,506.10/5,259.69 = 1,658.22/x
  3. Step 3: Cross multiply
    3,506.10x = 5,259.69 × 1,658.22
  4. Step 4: Simplify right side
    3,506.10x = 8,721,723.15
  5. Step 5: Solve for x
    x = 8,721,723.15/3,506.10
  6. Step 6: Final answer
    x = 2,487.59

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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.