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Finding the Fourth Proportional to 6,345.78, 8,759.34 and 3,695.43

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Solution

The fourth proportional to 6,345.78, 8,759.34 and 3,695.43 is: 5,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.78 : 8,759.34 = 3,695.43 : x
  2. Step 2: Convert to fraction form
    6,345.78/8,759.34 = 3,695.43/x
  3. Step 3: Cross multiply
    6,345.78x = 8,759.34 × 3,695.43
  4. Step 4: Simplify right side
    6,345.78x = 32,369,527.82
  5. Step 5: Solve for x
    x = 32,369,527.82/6,345.78
  6. Step 6: Final answer
    x = 5,100.95

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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.