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Finding the Fourth Proportional to 5,193.60, 7,790.40 and 3,220.80

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Solution

The fourth proportional to 5,193.60, 7,790.40 and 3,220.80 is: 4,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.60 : 7,790.40 = 3,220.80 : x
  2. Step 2: Convert to fraction form
    5,193.60/7,790.40 = 3,220.80/x
  3. Step 3: Cross multiply
    5,193.60x = 7,790.40 × 3,220.80
  4. Step 4: Simplify right side
    5,193.60x = 25,091,320.32
  5. Step 5: Solve for x
    x = 25,091,320.32/5,193.60
  6. Step 6: Final answer
    x = 4,831.20

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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.