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Finding the Fourth Proportional to 3,695.82, 5,543.78 and 1,098.87

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Solution

The fourth proportional to 3,695.82, 5,543.78 and 1,098.87 is: 1,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.82 : 5,543.78 = 1,098.87 : x
  2. Step 2: Convert to fraction form
    3,695.82/5,543.78 = 1,098.87/x
  3. Step 3: Cross multiply
    3,695.82x = 5,543.78 × 1,098.87
  4. Step 4: Simplify right side
    3,695.82x = 6,091,888.03
  5. Step 5: Solve for x
    x = 6,091,888.03/3,695.82
  6. Step 6: Final answer
    x = 1,648.32

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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.