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Finding the Fourth Proportional to 5,185.68, 7,160.16 and 3,419.76

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Solution

The fourth proportional to 5,185.68, 7,160.16 and 3,419.76 is: 4,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.68 : 7,160.16 = 3,419.76 : x
  2. Step 2: Convert to fraction form
    5,185.68/7,160.16 = 3,419.76/x
  3. Step 3: Cross multiply
    5,185.68x = 7,160.16 × 3,419.76
  4. Step 4: Simplify right side
    5,185.68x = 24,486,028.76
  5. Step 5: Solve for x
    x = 24,486,028.76/5,185.68
  6. Step 6: Final answer
    x = 4,721.85

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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.