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Finding the Fourth Proportional to 5,146.68, 7,098.19 and 3,155.84

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Solution

The fourth proportional to 5,146.68, 7,098.19 and 3,155.84 is: 4,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.68 : 7,098.19 = 3,155.84 : x
  2. Step 2: Convert to fraction form
    5,146.68/7,098.19 = 3,155.84/x
  3. Step 3: Cross multiply
    5,146.68x = 7,098.19 × 3,155.84
  4. Step 4: Simplify right side
    5,146.68x = 22,400,751.93
  5. Step 5: Solve for x
    x = 22,400,751.93/5,146.68
  6. Step 6: Final answer
    x = 4,352.47

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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.