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Finding the Fourth Proportional to 5,865.64, 8,094.54 and 3,213.16

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Solution

The fourth proportional to 5,865.64, 8,094.54 and 3,213.16 is: 4,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.64 : 8,094.54 = 3,213.16 : x
  2. Step 2: Convert to fraction form
    5,865.64/8,094.54 = 3,213.16/x
  3. Step 3: Cross multiply
    5,865.64x = 8,094.54 × 3,213.16
  4. Step 4: Simplify right side
    5,865.64x = 26,009,052.15
  5. Step 5: Solve for x
    x = 26,009,052.15/5,865.64
  6. Step 6: Final answer
    x = 4,434.14

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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.