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Finding the Fourth Proportional to 5,858.64, 8,086.42 and 4,066.24

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Solution

The fourth proportional to 5,858.64, 8,086.42 and 4,066.24 is: 5,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.64 : 8,086.42 = 4,066.24 : x
  2. Step 2: Convert to fraction form
    5,858.64/8,086.42 = 4,066.24/x
  3. Step 3: Cross multiply
    5,858.64x = 8,086.42 × 4,066.24
  4. Step 4: Simplify right side
    5,858.64x = 32,881,324.46
  5. Step 5: Solve for x
    x = 32,881,324.46/5,858.64
  6. Step 6: Final answer
    x = 5,612.45

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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.