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Finding the Fourth Proportional to 5,171.58, 7,140.15 and 3,406.19

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Solution

The fourth proportional to 5,171.58, 7,140.15 and 3,406.19 is: 4,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.58 : 7,140.15 = 3,406.19 : x
  2. Step 2: Convert to fraction form
    5,171.58/7,140.15 = 3,406.19/x
  3. Step 3: Cross multiply
    5,171.58x = 7,140.15 × 3,406.19
  4. Step 4: Simplify right side
    5,171.58x = 24,320,671.83
  5. Step 5: Solve for x
    x = 24,320,671.83/5,171.58
  6. Step 6: Final answer
    x = 4,702.75

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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.