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Finding the Fourth Proportional to 5,884.78, 8,121 and 3,232.18

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Solution

The fourth proportional to 5,884.78, 8,121 and 3,232.18 is: 4,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.78 : 8,121 = 3,232.18 : x
  2. Step 2: Convert to fraction form
    5,884.78/8,121 = 3,232.18/x
  3. Step 3: Cross multiply
    5,884.78x = 8,121 × 3,232.18
  4. Step 4: Simplify right side
    5,884.78x = 26,248,533.78
  5. Step 5: Solve for x
    x = 26,248,533.78/5,884.78
  6. Step 6: Final answer
    x = 4,460.41

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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.