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Finding the Fourth Proportional to 5,482.24, 8,223.36 and 2,404

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Solution

The fourth proportional to 5,482.24, 8,223.36 and 2,404 is: 3,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.24 : 8,223.36 = 2,404 : x
  2. Step 2: Convert to fraction form
    5,482.24/8,223.36 = 2,404/x
  3. Step 3: Cross multiply
    5,482.24x = 8,223.36 × 2,404
  4. Step 4: Simplify right side
    5,482.24x = 19,768,957.44
  5. Step 5: Solve for x
    x = 19,768,957.44/5,482.24
  6. Step 6: Final answer
    x = 3,606.00

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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.