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Finding the Fourth Proportional to 5,478.32, 8,223.24 and 2,402.48

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Solution

The fourth proportional to 5,478.32, 8,223.24 and 2,402.48 is: 3,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.32 : 8,223.24 = 2,402.48 : x
  2. Step 2: Convert to fraction form
    5,478.32/8,223.24 = 2,402.48/x
  3. Step 3: Cross multiply
    5,478.32x = 8,223.24 × 2,402.48
  4. Step 4: Simplify right side
    5,478.32x = 19,756,169.64
  5. Step 5: Solve for x
    x = 19,756,169.64/5,478.32
  6. Step 6: Final answer
    x = 3,606.25

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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.