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Finding the Fourth Proportional to 6,295.41, 8,686.70 and 3,642.30

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Solution

The fourth proportional to 6,295.41, 8,686.70 and 3,642.30 is: 5,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.41 : 8,686.70 = 3,642.30 : x
  2. Step 2: Convert to fraction form
    6,295.41/8,686.70 = 3,642.30/x
  3. Step 3: Cross multiply
    6,295.41x = 8,686.70 × 3,642.30
  4. Step 4: Simplify right side
    6,295.41x = 31,639,567.41
  5. Step 5: Solve for x
    x = 31,639,567.41/6,295.41
  6. Step 6: Final answer
    x = 5,025.82

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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.