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Finding the Fourth Proportional to 6,253.80, 9,376.04 and 3,788.08

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Solution

The fourth proportional to 6,253.80, 9,376.04 and 3,788.08 is: 5,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.80 : 9,376.04 = 3,788.08 : x
  2. Step 2: Convert to fraction form
    6,253.80/9,376.04 = 3,788.08/x
  3. Step 3: Cross multiply
    6,253.80x = 9,376.04 × 3,788.08
  4. Step 4: Simplify right side
    6,253.80x = 35,517,189.60
  5. Step 5: Solve for x
    x = 35,517,189.60/6,253.80
  6. Step 6: Final answer
    x = 5,679.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.