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Finding the Fourth Proportional to 4,152.71, 5,734.76 and 3,551.69

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Solution

The fourth proportional to 4,152.71, 5,734.76 and 3,551.69 is: 4,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.71 : 5,734.76 = 3,551.69 : x
  2. Step 2: Convert to fraction form
    4,152.71/5,734.76 = 3,551.69/x
  3. Step 3: Cross multiply
    4,152.71x = 5,734.76 × 3,551.69
  4. Step 4: Simplify right side
    4,152.71x = 20,368,043.31
  5. Step 5: Solve for x
    x = 20,368,043.31/4,152.71
  6. Step 6: Final answer
    x = 4,904.77

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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.