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Finding the Fourth Proportional to 4,468.16, 6,166.04 and 2,478.71

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Solution

The fourth proportional to 4,468.16, 6,166.04 and 2,478.71 is: 3,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.16 : 6,166.04 = 2,478.71 : x
  2. Step 2: Convert to fraction form
    4,468.16/6,166.04 = 2,478.71/x
  3. Step 3: Cross multiply
    4,468.16x = 6,166.04 × 2,478.71
  4. Step 4: Simplify right side
    4,468.16x = 15,283,828.03
  5. Step 5: Solve for x
    x = 15,283,828.03/4,468.16
  6. Step 6: Final answer
    x = 3,420.61

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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.