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Finding the Fourth Proportional to 5,627.84, 7,766.01 and 3,109.92

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Solution

The fourth proportional to 5,627.84, 7,766.01 and 3,109.92 is: 4,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.84 : 7,766.01 = 3,109.92 : x
  2. Step 2: Convert to fraction form
    5,627.84/7,766.01 = 3,109.92/x
  3. Step 3: Cross multiply
    5,627.84x = 7,766.01 × 3,109.92
  4. Step 4: Simplify right side
    5,627.84x = 24,151,675.66
  5. Step 5: Solve for x
    x = 24,151,675.66/5,627.84
  6. Step 6: Final answer
    x = 4,291.46

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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.