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Finding the Fourth Proportional to 3,925.71, 5,414.58 and 3,039.57

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Solution

The fourth proportional to 3,925.71, 5,414.58 and 3,039.57 is: 4,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.71 : 5,414.58 = 3,039.57 : x
  2. Step 2: Convert to fraction form
    3,925.71/5,414.58 = 3,039.57/x
  3. Step 3: Cross multiply
    3,925.71x = 5,414.58 × 3,039.57
  4. Step 4: Simplify right side
    3,925.71x = 16,457,994.93
  5. Step 5: Solve for x
    x = 16,457,994.93/3,925.71
  6. Step 6: Final answer
    x = 4,192.36

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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.