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Finding the Fourth Proportional to 4,894.44, 7,342.36 and 1,972.52

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Solution

The fourth proportional to 4,894.44, 7,342.36 and 1,972.52 is: 2,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.44 : 7,342.36 = 1,972.52 : x
  2. Step 2: Convert to fraction form
    4,894.44/7,342.36 = 1,972.52/x
  3. Step 3: Cross multiply
    4,894.44x = 7,342.36 × 1,972.52
  4. Step 4: Simplify right side
    4,894.44x = 14,482,951.95
  5. Step 5: Solve for x
    x = 14,482,951.95/4,894.44
  6. Step 6: Final answer
    x = 2,959.06

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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.