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Finding the Fourth Proportional to 5,580.96, 8,371.32 and 2,294

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Solution

The fourth proportional to 5,580.96, 8,371.32 and 2,294 is: 3,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.96 : 8,371.32 = 2,294 : x
  2. Step 2: Convert to fraction form
    5,580.96/8,371.32 = 2,294/x
  3. Step 3: Cross multiply
    5,580.96x = 8,371.32 × 2,294
  4. Step 4: Simplify right side
    5,580.96x = 19,203,808.08
  5. Step 5: Solve for x
    x = 19,203,808.08/5,580.96
  6. Step 6: Final answer
    x = 3,440.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.