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Finding the Fourth Proportional to 6,281.40, 8,675.46 and 5,449.80

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Solution

The fourth proportional to 6,281.40, 8,675.46 and 5,449.80 is: 7,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.40 : 8,675.46 = 5,449.80 : x
  2. Step 2: Convert to fraction form
    6,281.40/8,675.46 = 5,449.80/x
  3. Step 3: Cross multiply
    6,281.40x = 8,675.46 × 5,449.80
  4. Step 4: Simplify right side
    6,281.40x = 47,279,521.91
  5. Step 5: Solve for x
    x = 47,279,521.91/6,281.40
  6. Step 6: Final answer
    x = 7,526.91

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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.