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Finding the Fourth Proportional to 3,467.22, 5,200.76 and 870.18

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Solution

The fourth proportional to 3,467.22, 5,200.76 and 870.18 is: 1,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.22 : 5,200.76 = 870.18 : x
  2. Step 2: Convert to fraction form
    3,467.22/5,200.76 = 870.18/x
  3. Step 3: Cross multiply
    3,467.22x = 5,200.76 × 870.18
  4. Step 4: Simplify right side
    3,467.22x = 4,525,597.34
  5. Step 5: Solve for x
    x = 4,525,597.34/3,467.22
  6. Step 6: Final answer
    x = 1,305.25

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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.