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Finding the Fourth Proportional to 5,765.84, 8,652.05 and 2,256.13

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Solution

The fourth proportional to 5,765.84, 8,652.05 and 2,256.13 is: 3,385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.84 : 8,652.05 = 2,256.13 : x
  2. Step 2: Convert to fraction form
    5,765.84/8,652.05 = 2,256.13/x
  3. Step 3: Cross multiply
    5,765.84x = 8,652.05 × 2,256.13
  4. Step 4: Simplify right side
    5,765.84x = 19,520,138.29
  5. Step 5: Solve for x
    x = 19,520,138.29/5,765.84
  6. Step 6: Final answer
    x = 3,385.48

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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.