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Finding the Fourth Proportional to 5,698.46, 7,863.65 and 3,308.31

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Solution

The fourth proportional to 5,698.46, 7,863.65 and 3,308.31 is: 4,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.46 : 7,863.65 = 3,308.31 : x
  2. Step 2: Convert to fraction form
    5,698.46/7,863.65 = 3,308.31/x
  3. Step 3: Cross multiply
    5,698.46x = 7,863.65 × 3,308.31
  4. Step 4: Simplify right side
    5,698.46x = 26,015,391.93
  5. Step 5: Solve for x
    x = 26,015,391.93/5,698.46
  6. Step 6: Final answer
    x = 4,565.34

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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.