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Finding the Fourth Proportional to 3,467.13, 5,200.30 and 870.06

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Solution

The fourth proportional to 3,467.13, 5,200.30 and 870.06 is: 1,304.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.13 : 5,200.30 = 870.06 : x
  2. Step 2: Convert to fraction form
    3,467.13/5,200.30 = 870.06/x
  3. Step 3: Cross multiply
    3,467.13x = 5,200.30 × 870.06
  4. Step 4: Simplify right side
    3,467.13x = 4,524,573.02
  5. Step 5: Solve for x
    x = 4,524,573.02/3,467.13
  6. Step 6: Final answer
    x = 1,304.99

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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.