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Finding the Fourth Proportional to 3,743.57, 5,615.32 and 970.23

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Solution

The fourth proportional to 3,743.57, 5,615.32 and 970.23 is: 1,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.57 : 5,615.32 = 970.23 : x
  2. Step 2: Convert to fraction form
    3,743.57/5,615.32 = 970.23/x
  3. Step 3: Cross multiply
    3,743.57x = 5,615.32 × 970.23
  4. Step 4: Simplify right side
    3,743.57x = 5,448,151.92
  5. Step 5: Solve for x
    x = 5,448,151.92/3,743.57
  6. Step 6: Final answer
    x = 1,455.34

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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.