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Finding the Fourth Proportional to 4,734.82, 7,097.45 and 1,957.66

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Solution

The fourth proportional to 4,734.82, 7,097.45 and 1,957.66 is: 2,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.82 : 7,097.45 = 1,957.66 : x
  2. Step 2: Convert to fraction form
    4,734.82/7,097.45 = 1,957.66/x
  3. Step 3: Cross multiply
    4,734.82x = 7,097.45 × 1,957.66
  4. Step 4: Simplify right side
    4,734.82x = 13,894,384.18
  5. Step 5: Solve for x
    x = 13,894,384.18/4,734.82
  6. Step 6: Final answer
    x = 2,934.51

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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.