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Finding the Fourth Proportional to 5,195.60, 7,792.65 and 3,088.46

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Solution

The fourth proportional to 5,195.60, 7,792.65 and 3,088.46 is: 4,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.60 : 7,792.65 = 3,088.46 : x
  2. Step 2: Convert to fraction form
    5,195.60/7,792.65 = 3,088.46/x
  3. Step 3: Cross multiply
    5,195.60x = 7,792.65 × 3,088.46
  4. Step 4: Simplify right side
    5,195.60x = 24,067,287.82
  5. Step 5: Solve for x
    x = 24,067,287.82/5,195.60
  6. Step 6: Final answer
    x = 4,632.24

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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.