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Finding the Fourth Proportional to 4,013, 6,019.56 and 1,277

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Solution

The fourth proportional to 4,013, 6,019.56 and 1,277 is: 1,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013 : 6,019.56 = 1,277 : x
  2. Step 2: Convert to fraction form
    4,013/6,019.56 = 1,277/x
  3. Step 3: Cross multiply
    4,013x = 6,019.56 × 1,277
  4. Step 4: Simplify right side
    4,013x = 7,686,978.12
  5. Step 5: Solve for x
    x = 7,686,978.12/4,013
  6. Step 6: Final answer
    x = 1,915.52

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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.