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Finding the Fourth Proportional to 5,637.12, 7,769.88 and 5,166.48

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Solution

The fourth proportional to 5,637.12, 7,769.88 and 5,166.48 is: 7,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.12 : 7,769.88 = 5,166.48 : x
  2. Step 2: Convert to fraction form
    5,637.12/7,769.88 = 5,166.48/x
  3. Step 3: Cross multiply
    5,637.12x = 7,769.88 × 5,166.48
  4. Step 4: Simplify right side
    5,637.12x = 40,142,929.62
  5. Step 5: Solve for x
    x = 40,142,929.62/5,637.12
  6. Step 6: Final answer
    x = 7,121.18

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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.