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Finding the Fourth Proportional to 4,984.50, 7,472.34 and 1,862.40

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Solution

The fourth proportional to 4,984.50, 7,472.34 and 1,862.40 is: 2,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.50 : 7,472.34 = 1,862.40 : x
  2. Step 2: Convert to fraction form
    4,984.50/7,472.34 = 1,862.40/x
  3. Step 3: Cross multiply
    4,984.50x = 7,472.34 × 1,862.40
  4. Step 4: Simplify right side
    4,984.50x = 13,916,486.02
  5. Step 5: Solve for x
    x = 13,916,486.02/4,984.50
  6. Step 6: Final answer
    x = 2,791.95

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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.