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Finding the Fourth Proportional to 6,259.86, 8,638.65 and 3,743.46

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Solution

The fourth proportional to 6,259.86, 8,638.65 and 3,743.46 is: 5,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.86 : 8,638.65 = 3,743.46 : x
  2. Step 2: Convert to fraction form
    6,259.86/8,638.65 = 3,743.46/x
  3. Step 3: Cross multiply
    6,259.86x = 8,638.65 × 3,743.46
  4. Step 4: Simplify right side
    6,259.86x = 32,338,440.73
  5. Step 5: Solve for x
    x = 32,338,440.73/6,259.86
  6. Step 6: Final answer
    x = 5,166.00

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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.