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Finding the Fourth Proportional to 5,780.16, 7,980.48 and 3,790.80

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Solution

The fourth proportional to 5,780.16, 7,980.48 and 3,790.80 is: 5,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.16 : 7,980.48 = 3,790.80 : x
  2. Step 2: Convert to fraction form
    5,780.16/7,980.48 = 3,790.80/x
  3. Step 3: Cross multiply
    5,780.16x = 7,980.48 × 3,790.80
  4. Step 4: Simplify right side
    5,780.16x = 30,252,403.58
  5. Step 5: Solve for x
    x = 30,252,403.58/5,780.16
  6. Step 6: Final answer
    x = 5,233.83

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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.