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Finding the Fourth Proportional to 5,630.16, 7,769.88 and 3,392.76

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Solution

The fourth proportional to 5,630.16, 7,769.88 and 3,392.76 is: 4,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.16 : 7,769.88 = 3,392.76 : x
  2. Step 2: Convert to fraction form
    5,630.16/7,769.88 = 3,392.76/x
  3. Step 3: Cross multiply
    5,630.16x = 7,769.88 × 3,392.76
  4. Step 4: Simplify right side
    5,630.16x = 26,361,338.07
  5. Step 5: Solve for x
    x = 26,361,338.07/5,630.16
  6. Step 6: Final answer
    x = 4,682.16

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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.