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Finding the Fourth Proportional to 5,220.64, 7,793.06 and 4,835.20

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Solution

The fourth proportional to 5,220.64, 7,793.06 and 4,835.20 is: 7,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.64 : 7,793.06 = 4,835.20 : x
  2. Step 2: Convert to fraction form
    5,220.64/7,793.06 = 4,835.20/x
  3. Step 3: Cross multiply
    5,220.64x = 7,793.06 × 4,835.20
  4. Step 4: Simplify right side
    5,220.64x = 37,681,003.71
  5. Step 5: Solve for x
    x = 37,681,003.71/5,220.64
  6. Step 6: Final answer
    x = 7,217.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.