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Finding the Fourth Proportional to 5,776.34, 7,966.80 and 4,183.20

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Solution

The fourth proportional to 5,776.34, 7,966.80 and 4,183.20 is: 5,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.34 : 7,966.80 = 4,183.20 : x
  2. Step 2: Convert to fraction form
    5,776.34/7,966.80 = 4,183.20/x
  3. Step 3: Cross multiply
    5,776.34x = 7,966.80 × 4,183.20
  4. Step 4: Simplify right side
    5,776.34x = 33,326,717.76
  5. Step 5: Solve for x
    x = 33,326,717.76/5,776.34
  6. Step 6: Final answer
    x = 5,769.52

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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.