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Finding the Fourth Proportional to 4,562.04, 6,841.80 and 1,275.48

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Solution

The fourth proportional to 4,562.04, 6,841.80 and 1,275.48 is: 1,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.04 : 6,841.80 = 1,275.48 : x
  2. Step 2: Convert to fraction form
    4,562.04/6,841.80 = 1,275.48/x
  3. Step 3: Cross multiply
    4,562.04x = 6,841.80 × 1,275.48
  4. Step 4: Simplify right side
    4,562.04x = 8,726,579.06
  5. Step 5: Solve for x
    x = 8,726,579.06/4,562.04
  6. Step 6: Final answer
    x = 1,912.87

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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.