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Finding the Fourth Proportional to 5,223.60, 7,833.24 and 4,070.16

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Solution

The fourth proportional to 5,223.60, 7,833.24 and 4,070.16 is: 6,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.60 : 7,833.24 = 4,070.16 : x
  2. Step 2: Convert to fraction form
    5,223.60/7,833.24 = 4,070.16/x
  3. Step 3: Cross multiply
    5,223.60x = 7,833.24 × 4,070.16
  4. Step 4: Simplify right side
    5,223.60x = 31,882,540.12
  5. Step 5: Solve for x
    x = 31,882,540.12/5,223.60
  6. Step 6: Final answer
    x = 6,103.56

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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.