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Finding the Fourth Proportional to 3,916.96, 5,403.52 and 2,260

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Solution

The fourth proportional to 3,916.96, 5,403.52 and 2,260 is: 3,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.96 : 5,403.52 = 2,260 : x
  2. Step 2: Convert to fraction form
    3,916.96/5,403.52 = 2,260/x
  3. Step 3: Cross multiply
    3,916.96x = 5,403.52 × 2,260
  4. Step 4: Simplify right side
    3,916.96x = 12,211,955.20
  5. Step 5: Solve for x
    x = 12,211,955.20/3,916.96
  6. Step 6: Final answer
    x = 3,117.71

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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.