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Finding the Fourth Proportional to 4,678.80, 6,455.92 and 2,912.80

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Solution

The fourth proportional to 4,678.80, 6,455.92 and 2,912.80 is: 4,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.80 : 6,455.92 = 2,912.80 : x
  2. Step 2: Convert to fraction form
    4,678.80/6,455.92 = 2,912.80/x
  3. Step 3: Cross multiply
    4,678.80x = 6,455.92 × 2,912.80
  4. Step 4: Simplify right side
    4,678.80x = 18,804,803.78
  5. Step 5: Solve for x
    x = 18,804,803.78/4,678.80
  6. Step 6: Final answer
    x = 4,019.15

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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.