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Finding the Fourth Proportional to 4,468.60, 6,701.42 and 1,506.24

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Solution

The fourth proportional to 4,468.60, 6,701.42 and 1,506.24 is: 2,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.60 : 6,701.42 = 1,506.24 : x
  2. Step 2: Convert to fraction form
    4,468.60/6,701.42 = 1,506.24/x
  3. Step 3: Cross multiply
    4,468.60x = 6,701.42 × 1,506.24
  4. Step 4: Simplify right side
    4,468.60x = 10,093,939.33
  5. Step 5: Solve for x
    x = 10,093,939.33/4,468.60
  6. Step 6: Final answer
    x = 2,258.86

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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.