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Finding the Fourth Proportional to 3,594.70, 4,960.80 and 1,957.68

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Solution

The fourth proportional to 3,594.70, 4,960.80 and 1,957.68 is: 2,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.70 : 4,960.80 = 1,957.68 : x
  2. Step 2: Convert to fraction form
    3,594.70/4,960.80 = 1,957.68/x
  3. Step 3: Cross multiply
    3,594.70x = 4,960.80 × 1,957.68
  4. Step 4: Simplify right side
    3,594.70x = 9,711,682.20
  5. Step 5: Solve for x
    x = 9,711,682.20/3,594.70
  6. Step 6: Final answer
    x = 2,701.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.