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Finding the Fourth Proportional to 5,277.56, 7,914.29 and 1,988.85

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Solution

The fourth proportional to 5,277.56, 7,914.29 and 1,988.85 is: 2,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.56 : 7,914.29 = 1,988.85 : x
  2. Step 2: Convert to fraction form
    5,277.56/7,914.29 = 1,988.85/x
  3. Step 3: Cross multiply
    5,277.56x = 7,914.29 × 1,988.85
  4. Step 4: Simplify right side
    5,277.56x = 15,740,325.72
  5. Step 5: Solve for x
    x = 15,740,325.72/5,277.56
  6. Step 6: Final answer
    x = 2,982.50

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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.