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Finding the Fourth Proportional to 4,866.46, 6,708.71 and 3,466.78

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Solution

The fourth proportional to 4,866.46, 6,708.71 and 3,466.78 is: 4,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.46 : 6,708.71 = 3,466.78 : x
  2. Step 2: Convert to fraction form
    4,866.46/6,708.71 = 3,466.78/x
  3. Step 3: Cross multiply
    4,866.46x = 6,708.71 × 3,466.78
  4. Step 4: Simplify right side
    4,866.46x = 23,257,621.65
  5. Step 5: Solve for x
    x = 23,257,621.65/4,866.46
  6. Step 6: Final answer
    x = 4,779.17

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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.