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Finding the Fourth Proportional to 6,302.75, 8,697.98 and 3,470.42

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Solution

The fourth proportional to 6,302.75, 8,697.98 and 3,470.42 is: 4,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.75 : 8,697.98 = 3,470.42 : x
  2. Step 2: Convert to fraction form
    6,302.75/8,697.98 = 3,470.42/x
  3. Step 3: Cross multiply
    6,302.75x = 8,697.98 × 3,470.42
  4. Step 4: Simplify right side
    6,302.75x = 30,185,582.91
  5. Step 5: Solve for x
    x = 30,185,582.91/6,302.75
  6. Step 6: Final answer
    x = 4,789.28

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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.