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Finding the Fourth Proportional to 5,764.34, 8,645.70 and 3,291.14

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Solution

The fourth proportional to 5,764.34, 8,645.70 and 3,291.14 is: 4,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.34 : 8,645.70 = 3,291.14 : x
  2. Step 2: Convert to fraction form
    5,764.34/8,645.70 = 3,291.14/x
  3. Step 3: Cross multiply
    5,764.34x = 8,645.70 × 3,291.14
  4. Step 4: Simplify right side
    5,764.34x = 28,454,209.10
  5. Step 5: Solve for x
    x = 28,454,209.10/5,764.34
  6. Step 6: Final answer
    x = 4,936.25

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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.