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Finding the Fourth Proportional to 6,148.80, 9,208.80 and 4,190.40

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Solution

The fourth proportional to 6,148.80, 9,208.80 and 4,190.40 is: 6,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.80 : 9,208.80 = 4,190.40 : x
  2. Step 2: Convert to fraction form
    6,148.80/9,208.80 = 4,190.40/x
  3. Step 3: Cross multiply
    6,148.80x = 9,208.80 × 4,190.40
  4. Step 4: Simplify right side
    6,148.80x = 38,588,555.52
  5. Step 5: Solve for x
    x = 38,588,555.52/6,148.80
  6. Step 6: Final answer
    x = 6,275.79

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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.