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Finding the Fourth Proportional to 4,095.76, 5,652.16 and 2,232.76

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Solution

The fourth proportional to 4,095.76, 5,652.16 and 2,232.76 is: 3,081.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.76 : 5,652.16 = 2,232.76 : x
  2. Step 2: Convert to fraction form
    4,095.76/5,652.16 = 2,232.76/x
  3. Step 3: Cross multiply
    4,095.76x = 5,652.16 × 2,232.76
  4. Step 4: Simplify right side
    4,095.76x = 12,619,916.76
  5. Step 5: Solve for x
    x = 12,619,916.76/4,095.76
  6. Step 6: Final answer
    x = 3,081.21

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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.