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Finding the Fourth Proportional to 6,277.30, 8,663.07 and 3,482.80

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Solution

The fourth proportional to 6,277.30, 8,663.07 and 3,482.80 is: 4,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.30 : 8,663.07 = 3,482.80 : x
  2. Step 2: Convert to fraction form
    6,277.30/8,663.07 = 3,482.80/x
  3. Step 3: Cross multiply
    6,277.30x = 8,663.07 × 3,482.80
  4. Step 4: Simplify right side
    6,277.30x = 30,171,740.20
  5. Step 5: Solve for x
    x = 30,171,740.20/6,277.30
  6. Step 6: Final answer
    x = 4,806.48

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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.