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Finding the Fourth Proportional to 3,925.42, 5,890.17 and 1,735.66

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Solution

The fourth proportional to 3,925.42, 5,890.17 and 1,735.66 is: 2,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.42 : 5,890.17 = 1,735.66 : x
  2. Step 2: Convert to fraction form
    3,925.42/5,890.17 = 1,735.66/x
  3. Step 3: Cross multiply
    3,925.42x = 5,890.17 × 1,735.66
  4. Step 4: Simplify right side
    3,925.42x = 10,223,332.46
  5. Step 5: Solve for x
    x = 10,223,332.46/3,925.42
  6. Step 6: Final answer
    x = 2,604.39

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1.5x scale

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.