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Finding the Fourth Proportional to 3,407.46, 5,111.01 and 1,098.96

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Solution

The fourth proportional to 3,407.46, 5,111.01 and 1,098.96 is: 1,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.46 : 5,111.01 = 1,098.96 : x
  2. Step 2: Convert to fraction form
    3,407.46/5,111.01 = 1,098.96/x
  3. Step 3: Cross multiply
    3,407.46x = 5,111.01 × 1,098.96
  4. Step 4: Simplify right side
    3,407.46x = 5,616,795.55
  5. Step 5: Solve for x
    x = 5,616,795.55/3,407.46
  6. Step 6: Final answer
    x = 1,648.38

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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.