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Finding the Fourth Proportional to 5,175.60, 7,762.80 and 1,478.40

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Solution

The fourth proportional to 5,175.60, 7,762.80 and 1,478.40 is: 2,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.60 : 7,762.80 = 1,478.40 : x
  2. Step 2: Convert to fraction form
    5,175.60/7,762.80 = 1,478.40/x
  3. Step 3: Cross multiply
    5,175.60x = 7,762.80 × 1,478.40
  4. Step 4: Simplify right side
    5,175.60x = 11,476,523.52
  5. Step 5: Solve for x
    x = 11,476,523.52/5,175.60
  6. Step 6: Final answer
    x = 2,217.43

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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.