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Finding the Fourth Proportional to 5,126.06, 7,693.96 and 3,182.06

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Solution

The fourth proportional to 5,126.06, 7,693.96 and 3,182.06 is: 4,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.06 : 7,693.96 = 3,182.06 : x
  2. Step 2: Convert to fraction form
    5,126.06/7,693.96 = 3,182.06/x
  3. Step 3: Cross multiply
    5,126.06x = 7,693.96 × 3,182.06
  4. Step 4: Simplify right side
    5,126.06x = 24,482,642.36
  5. Step 5: Solve for x
    x = 24,482,642.36/5,126.06
  6. Step 6: Final answer
    x = 4,776.11

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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.