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Finding the Fourth Proportional to 5,128.97, 7,654.20 and 4,575.39

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Solution

The fourth proportional to 5,128.97, 7,654.20 and 4,575.39 is: 6,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.97 : 7,654.20 = 4,575.39 : x
  2. Step 2: Convert to fraction form
    5,128.97/7,654.20 = 4,575.39/x
  3. Step 3: Cross multiply
    5,128.97x = 7,654.20 × 4,575.39
  4. Step 4: Simplify right side
    5,128.97x = 35,020,904.28
  5. Step 5: Solve for x
    x = 35,020,904.28/5,128.97
  6. Step 6: Final answer
    x = 6,828.06

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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.