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Finding the Fourth Proportional to 3,523.77, 5,285.23 and 926.91

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Solution

The fourth proportional to 3,523.77, 5,285.23 and 926.91 is: 1,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.77 : 5,285.23 = 926.91 : x
  2. Step 2: Convert to fraction form
    3,523.77/5,285.23 = 926.91/x
  3. Step 3: Cross multiply
    3,523.77x = 5,285.23 × 926.91
  4. Step 4: Simplify right side
    3,523.77x = 4,898,903.80
  5. Step 5: Solve for x
    x = 4,898,903.80/3,523.77
  6. Step 6: Final answer
    x = 1,390.25

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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.