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Finding the Fourth Proportional to 6,265.04, 8,646.28 and 3,470.80

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Solution

The fourth proportional to 6,265.04, 8,646.28 and 3,470.80 is: 4,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.04 : 8,646.28 = 3,470.80 : x
  2. Step 2: Convert to fraction form
    6,265.04/8,646.28 = 3,470.80/x
  3. Step 3: Cross multiply
    6,265.04x = 8,646.28 × 3,470.80
  4. Step 4: Simplify right side
    6,265.04x = 30,009,508.62
  5. Step 5: Solve for x
    x = 30,009,508.62/6,265.04
  6. Step 6: Final answer
    x = 4,789.99

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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.