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Finding the Fourth Proportional to 5,952, 8,210.34 and 3,712.80

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Solution

The fourth proportional to 5,952, 8,210.34 and 3,712.80 is: 5,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952 : 8,210.34 = 3,712.80 : x
  2. Step 2: Convert to fraction form
    5,952/8,210.34 = 3,712.80/x
  3. Step 3: Cross multiply
    5,952x = 8,210.34 × 3,712.80
  4. Step 4: Simplify right side
    5,952x = 30,483,350.35
  5. Step 5: Solve for x
    x = 30,483,350.35/5,952
  6. Step 6: Final answer
    x = 5,121.53

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1.5x scale

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.