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Finding the Fourth Proportional to 4,569.71, 6,880.29 and 4,166.94

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Solution

The fourth proportional to 4,569.71, 6,880.29 and 4,166.94 is: 6,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.71 : 6,880.29 = 4,166.94 : x
  2. Step 2: Convert to fraction form
    4,569.71/6,880.29 = 4,166.94/x
  3. Step 3: Cross multiply
    4,569.71x = 6,880.29 × 4,166.94
  4. Step 4: Simplify right side
    4,569.71x = 28,669,734.78
  5. Step 5: Solve for x
    x = 28,669,734.78/4,569.71
  6. Step 6: Final answer
    x = 6,273.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.