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Finding the Fourth Proportional to 3,111.76, 4,288.60 and 2,523.72

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Solution

The fourth proportional to 3,111.76, 4,288.60 and 2,523.72 is: 3,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.76 : 4,288.60 = 2,523.72 : x
  2. Step 2: Convert to fraction form
    3,111.76/4,288.60 = 2,523.72/x
  3. Step 3: Cross multiply
    3,111.76x = 4,288.60 × 2,523.72
  4. Step 4: Simplify right side
    3,111.76x = 10,823,225.59
  5. Step 5: Solve for x
    x = 10,823,225.59/3,111.76
  6. Step 6: Final answer
    x = 3,478.17

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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.