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Finding the Fourth Proportional to 5,764.64, 8,646.17 and 2,066.34

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Solution

The fourth proportional to 5,764.64, 8,646.17 and 2,066.34 is: 3,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.64 : 8,646.17 = 2,066.34 : x
  2. Step 2: Convert to fraction form
    5,764.64/8,646.17 = 2,066.34/x
  3. Step 3: Cross multiply
    5,764.64x = 8,646.17 × 2,066.34
  4. Step 4: Simplify right side
    5,764.64x = 17,865,881.87
  5. Step 5: Solve for x
    x = 17,865,881.87/5,764.64
  6. Step 6: Final answer
    x = 3,099.22

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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.