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Finding the Fourth Proportional to 5,698.16, 7,863.85 and 3,180.76

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Solution

The fourth proportional to 5,698.16, 7,863.85 and 3,180.76 is: 4,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.16 : 7,863.85 = 3,180.76 : x
  2. Step 2: Convert to fraction form
    5,698.16/7,863.85 = 3,180.76/x
  3. Step 3: Cross multiply
    5,698.16x = 7,863.85 × 3,180.76
  4. Step 4: Simplify right side
    5,698.16x = 25,012,990.04
  5. Step 5: Solve for x
    x = 25,012,990.04/5,698.16
  6. Step 6: Final answer
    x = 4,389.66

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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.