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Finding the Fourth Proportional to 4,862.84, 7,294.32 and 1,939.44

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Solution

The fourth proportional to 4,862.84, 7,294.32 and 1,939.44 is: 2,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.84 : 7,294.32 = 1,939.44 : x
  2. Step 2: Convert to fraction form
    4,862.84/7,294.32 = 1,939.44/x
  3. Step 3: Cross multiply
    4,862.84x = 7,294.32 × 1,939.44
  4. Step 4: Simplify right side
    4,862.84x = 14,146,895.98
  5. Step 5: Solve for x
    x = 14,146,895.98/4,862.84
  6. Step 6: Final answer
    x = 2,909.18

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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.