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Finding the Fourth Proportional to 5,660.78, 8,491.16 and 1,765.58

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Solution

The fourth proportional to 5,660.78, 8,491.16 and 1,765.58 is: 2,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.78 : 8,491.16 = 1,765.58 : x
  2. Step 2: Convert to fraction form
    5,660.78/8,491.16 = 1,765.58/x
  3. Step 3: Cross multiply
    5,660.78x = 8,491.16 × 1,765.58
  4. Step 4: Simplify right side
    5,660.78x = 14,991,784.23
  5. Step 5: Solve for x
    x = 14,991,784.23/5,660.78
  6. Step 6: Final answer
    x = 2,648.36

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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.