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Finding the Fourth Proportional to 5,130.96, 7,691.49 and 2,820.84

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Solution

The fourth proportional to 5,130.96, 7,691.49 and 2,820.84 is: 4,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.96 : 7,691.49 = 2,820.84 : x
  2. Step 2: Convert to fraction form
    5,130.96/7,691.49 = 2,820.84/x
  3. Step 3: Cross multiply
    5,130.96x = 7,691.49 × 2,820.84
  4. Step 4: Simplify right side
    5,130.96x = 21,696,462.65
  5. Step 5: Solve for x
    x = 21,696,462.65/5,130.96
  6. Step 6: Final answer
    x = 4,228.54

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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.