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Finding the Fourth Proportional to 5,698.34, 7,863.63 and 3,340.70

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Solution

The fourth proportional to 5,698.34, 7,863.63 and 3,340.70 is: 4,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.34 : 7,863.63 = 3,340.70 : x
  2. Step 2: Convert to fraction form
    5,698.34/7,863.63 = 3,340.70/x
  3. Step 3: Cross multiply
    5,698.34x = 7,863.63 × 3,340.70
  4. Step 4: Simplify right side
    5,698.34x = 26,270,028.74
  5. Step 5: Solve for x
    x = 26,270,028.74/5,698.34
  6. Step 6: Final answer
    x = 4,610.12

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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.