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Finding the Fourth Proportional to 5,654.03, 7,802.58 and 3,135.96

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Solution

The fourth proportional to 5,654.03, 7,802.58 and 3,135.96 is: 4,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.03 : 7,802.58 = 3,135.96 : x
  2. Step 2: Convert to fraction form
    5,654.03/7,802.58 = 3,135.96/x
  3. Step 3: Cross multiply
    5,654.03x = 7,802.58 × 3,135.96
  4. Step 4: Simplify right side
    5,654.03x = 24,468,578.78
  5. Step 5: Solve for x
    x = 24,468,578.78/5,654.03
  6. Step 6: Final answer
    x = 4,327.64

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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.