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Finding the Fourth Proportional to 5,648.60, 7,792.45 and 3,659.80

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Solution

The fourth proportional to 5,648.60, 7,792.45 and 3,659.80 is: 5,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.60 : 7,792.45 = 3,659.80 : x
  2. Step 2: Convert to fraction form
    5,648.60/7,792.45 = 3,659.80/x
  3. Step 3: Cross multiply
    5,648.60x = 7,792.45 × 3,659.80
  4. Step 4: Simplify right side
    5,648.60x = 28,518,815.08
  5. Step 5: Solve for x
    x = 28,518,815.08/5,648.60
  6. Step 6: Final answer
    x = 5,048.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.