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Finding the Fourth Proportional to 3,717.69, 5,130.72 and 3,052.68

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Solution

The fourth proportional to 3,717.69, 5,130.72 and 3,052.68 is: 4,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.69 : 5,130.72 = 3,052.68 : x
  2. Step 2: Convert to fraction form
    3,717.69/5,130.72 = 3,052.68/x
  3. Step 3: Cross multiply
    3,717.69x = 5,130.72 × 3,052.68
  4. Step 4: Simplify right side
    3,717.69x = 15,662,446.33
  5. Step 5: Solve for x
    x = 15,662,446.33/3,717.69
  6. Step 6: Final answer
    x = 4,212.95

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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.