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Finding the Fourth Proportional to 5,654.07, 7,802.61 and 3,170.07

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Solution

The fourth proportional to 5,654.07, 7,802.61 and 3,170.07 is: 4,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.07 : 7,802.61 = 3,170.07 : x
  2. Step 2: Convert to fraction form
    5,654.07/7,802.61 = 3,170.07/x
  3. Step 3: Cross multiply
    5,654.07x = 7,802.61 × 3,170.07
  4. Step 4: Simplify right side
    5,654.07x = 24,734,765.02
  5. Step 5: Solve for x
    x = 24,734,765.02/5,654.07
  6. Step 6: Final answer
    x = 4,374.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.