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Finding the Fourth Proportional to 4,257.60, 6,348.80 and 3,739.72

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Solution

The fourth proportional to 4,257.60, 6,348.80 and 3,739.72 is: 5,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.60 : 6,348.80 = 3,739.72 : x
  2. Step 2: Convert to fraction form
    4,257.60/6,348.80 = 3,739.72/x
  3. Step 3: Cross multiply
    4,257.60x = 6,348.80 × 3,739.72
  4. Step 4: Simplify right side
    4,257.60x = 23,742,734.34
  5. Step 5: Solve for x
    x = 23,742,734.34/4,257.60
  6. Step 6: Final answer
    x = 5,576.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.