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Finding the Fourth Proportional to 5,140.80, 7,699.86 and 4,162.32

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Solution

The fourth proportional to 5,140.80, 7,699.86 and 4,162.32 is: 6,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.80 : 7,699.86 = 4,162.32 : x
  2. Step 2: Convert to fraction form
    5,140.80/7,699.86 = 4,162.32/x
  3. Step 3: Cross multiply
    5,140.80x = 7,699.86 × 4,162.32
  4. Step 4: Simplify right side
    5,140.80x = 32,049,281.28
  5. Step 5: Solve for x
    x = 32,049,281.28/5,140.80
  6. Step 6: Final answer
    x = 6,234.30

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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.