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Finding the Fourth Proportional to 5,698.77, 7,863.51 and 3,180.58

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Solution

The fourth proportional to 5,698.77, 7,863.51 and 3,180.58 is: 4,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.77 : 7,863.51 = 3,180.58 : x
  2. Step 2: Convert to fraction form
    5,698.77/7,863.51 = 3,180.58/x
  3. Step 3: Cross multiply
    5,698.77x = 7,863.51 × 3,180.58
  4. Step 4: Simplify right side
    5,698.77x = 25,010,522.64
  5. Step 5: Solve for x
    x = 25,010,522.64/5,698.77
  6. Step 6: Final answer
    x = 4,388.76

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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.