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Finding the Fourth Proportional to 4,266.98, 5,886.18 and 2,938.40

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Solution

The fourth proportional to 4,266.98, 5,886.18 and 2,938.40 is: 4,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.98 : 5,886.18 = 2,938.40 : x
  2. Step 2: Convert to fraction form
    4,266.98/5,886.18 = 2,938.40/x
  3. Step 3: Cross multiply
    4,266.98x = 5,886.18 × 2,938.40
  4. Step 4: Simplify right side
    4,266.98x = 17,295,951.31
  5. Step 5: Solve for x
    x = 17,295,951.31/4,266.98
  6. Step 6: Final answer
    x = 4,053.44

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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.