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Finding the Fourth Proportional to 5,630.19, 7,769.97 and 3,642.45

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Solution

The fourth proportional to 5,630.19, 7,769.97 and 3,642.45 is: 5,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.19 : 7,769.97 = 3,642.45 : x
  2. Step 2: Convert to fraction form
    5,630.19/7,769.97 = 3,642.45/x
  3. Step 3: Cross multiply
    5,630.19x = 7,769.97 × 3,642.45
  4. Step 4: Simplify right side
    5,630.19x = 28,301,727.23
  5. Step 5: Solve for x
    x = 28,301,727.23/5,630.19
  6. Step 6: Final answer
    x = 5,026.78

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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.