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Finding the Fourth Proportional to 4,970.94, 7,454.00 and 2,891.55

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Solution

The fourth proportional to 4,970.94, 7,454.00 and 2,891.55 is: 4,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.94 : 7,454.00 = 2,891.55 : x
  2. Step 2: Convert to fraction form
    4,970.94/7,454.00 = 2,891.55/x
  3. Step 3: Cross multiply
    4,970.94x = 7,454.00 × 2,891.55
  4. Step 4: Simplify right side
    4,970.94x = 21,553,599.24
  5. Step 5: Solve for x
    x = 21,553,599.24/4,970.94
  6. Step 6: Final answer
    x = 4,335.92

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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.