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Finding the Fourth Proportional to 5,748.78, 8,662.28 and 4,731.60

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Solution

The fourth proportional to 5,748.78, 8,662.28 and 4,731.60 is: 7,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.78 : 8,662.28 = 4,731.60 : x
  2. Step 2: Convert to fraction form
    5,748.78/8,662.28 = 4,731.60/x
  3. Step 3: Cross multiply
    5,748.78x = 8,662.28 × 4,731.60
  4. Step 4: Simplify right side
    5,748.78x = 40,986,420.39
  5. Step 5: Solve for x
    x = 40,986,420.39/5,748.78
  6. Step 6: Final answer
    x = 7,129.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.