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Finding the Fourth Proportional to 6,359.82, 8,776.54 and 3,875.82

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Solution

The fourth proportional to 6,359.82, 8,776.54 and 3,875.82 is: 5,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.82 : 8,776.54 = 3,875.82 : x
  2. Step 2: Convert to fraction form
    6,359.82/8,776.54 = 3,875.82/x
  3. Step 3: Cross multiply
    6,359.82x = 8,776.54 × 3,875.82
  4. Step 4: Simplify right side
    6,359.82x = 34,016,289.26
  5. Step 5: Solve for x
    x = 34,016,289.26/6,359.82
  6. Step 6: Final answer
    x = 5,348.62

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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.