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Finding the Fourth Proportional to 3,812.59, 5,717 and 1,347.05

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Solution

The fourth proportional to 3,812.59, 5,717 and 1,347.05 is: 2,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.59 : 5,717 = 1,347.05 : x
  2. Step 2: Convert to fraction form
    3,812.59/5,717 = 1,347.05/x
  3. Step 3: Cross multiply
    3,812.59x = 5,717 × 1,347.05
  4. Step 4: Simplify right side
    3,812.59x = 7,701,084.85
  5. Step 5: Solve for x
    x = 7,701,084.85/3,812.59
  6. Step 6: Final answer
    x = 2,019.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.