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Finding the Fourth Proportional to 4,807.68, 6,635.66 and 3,126.16

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Solution

The fourth proportional to 4,807.68, 6,635.66 and 3,126.16 is: 4,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.68 : 6,635.66 = 3,126.16 : x
  2. Step 2: Convert to fraction form
    4,807.68/6,635.66 = 3,126.16/x
  3. Step 3: Cross multiply
    4,807.68x = 6,635.66 × 3,126.16
  4. Step 4: Simplify right side
    4,807.68x = 20,744,134.87
  5. Step 5: Solve for x
    x = 20,744,134.87/4,807.68
  6. Step 6: Final answer
    x = 4,314.79

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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.