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Finding the Fourth Proportional to 5,129.84, 7,641.82 and 4,811.12

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Solution

The fourth proportional to 5,129.84, 7,641.82 and 4,811.12 is: 7,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.84 : 7,641.82 = 4,811.12 : x
  2. Step 2: Convert to fraction form
    5,129.84/7,641.82 = 4,811.12/x
  3. Step 3: Cross multiply
    5,129.84x = 7,641.82 × 4,811.12
  4. Step 4: Simplify right side
    5,129.84x = 36,765,713.04
  5. Step 5: Solve for x
    x = 36,765,713.04/5,129.84
  6. Step 6: Final answer
    x = 7,167.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.