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Finding the Fourth Proportional to 5,048.76, 6,967.98 and 3,191.16

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Solution

The fourth proportional to 5,048.76, 6,967.98 and 3,191.16 is: 4,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.76 : 6,967.98 = 3,191.16 : x
  2. Step 2: Convert to fraction form
    5,048.76/6,967.98 = 3,191.16/x
  3. Step 3: Cross multiply
    5,048.76x = 6,967.98 × 3,191.16
  4. Step 4: Simplify right side
    5,048.76x = 22,235,939.06
  5. Step 5: Solve for x
    x = 22,235,939.06/5,048.76
  6. Step 6: Final answer
    x = 4,404.24

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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.