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Finding the Fourth Proportional to 5,038, 6,952.44 and 2,830

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Solution

The fourth proportional to 5,038, 6,952.44 and 2,830 is: 3,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038 : 6,952.44 = 2,830 : x
  2. Step 2: Convert to fraction form
    5,038/6,952.44 = 2,830/x
  3. Step 3: Cross multiply
    5,038x = 6,952.44 × 2,830
  4. Step 4: Simplify right side
    5,038x = 19,675,405.20
  5. Step 5: Solve for x
    x = 19,675,405.20/5,038
  6. Step 6: Final answer
    x = 3,905.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.