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Finding the Fourth Proportional to 6,414.86, 8,852.42 and 3,582.29

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Solution

The fourth proportional to 6,414.86, 8,852.42 and 3,582.29 is: 4,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.86 : 8,852.42 = 3,582.29 : x
  2. Step 2: Convert to fraction form
    6,414.86/8,852.42 = 3,582.29/x
  3. Step 3: Cross multiply
    6,414.86x = 8,852.42 × 3,582.29
  4. Step 4: Simplify right side
    6,414.86x = 31,711,916.93
  5. Step 5: Solve for x
    x = 31,711,916.93/6,414.86
  6. Step 6: Final answer
    x = 4,943.51

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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.