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Finding the Fourth Proportional to 6,293.85, 8,685.02 and 3,641.46

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Solution

The fourth proportional to 6,293.85, 8,685.02 and 3,641.46 is: 5,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.85 : 8,685.02 = 3,641.46 : x
  2. Step 2: Convert to fraction form
    6,293.85/8,685.02 = 3,641.46/x
  3. Step 3: Cross multiply
    6,293.85x = 8,685.02 × 3,641.46
  4. Step 4: Simplify right side
    6,293.85x = 31,626,129.46
  5. Step 5: Solve for x
    x = 31,626,129.46/6,293.85
  6. Step 6: Final answer
    x = 5,024.92

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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.