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Finding the Fourth Proportional to 3,705.80, 5,110.98 and 2,658.44

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Solution

The fourth proportional to 3,705.80, 5,110.98 and 2,658.44 is: 3,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.80 : 5,110.98 = 2,658.44 : x
  2. Step 2: Convert to fraction form
    3,705.80/5,110.98 = 2,658.44/x
  3. Step 3: Cross multiply
    3,705.80x = 5,110.98 × 2,658.44
  4. Step 4: Simplify right side
    3,705.80x = 13,587,233.67
  5. Step 5: Solve for x
    x = 13,587,233.67/3,705.80
  6. Step 6: Final answer
    x = 3,666.48

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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.