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Finding the Fourth Proportional to 4,894.11, 7,333.86 and 1,970.82

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Solution

The fourth proportional to 4,894.11, 7,333.86 and 1,970.82 is: 2,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.11 : 7,333.86 = 1,970.82 : x
  2. Step 2: Convert to fraction form
    4,894.11/7,333.86 = 1,970.82/x
  3. Step 3: Cross multiply
    4,894.11x = 7,333.86 × 1,970.82
  4. Step 4: Simplify right side
    4,894.11x = 14,453,717.97
  5. Step 5: Solve for x
    x = 14,453,717.97/4,894.11
  6. Step 6: Final answer
    x = 2,953.29

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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.