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Finding the Fourth Proportional to 5,764.68, 8,646.08 and 2,066.22

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Solution

The fourth proportional to 5,764.68, 8,646.08 and 2,066.22 is: 3,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.68 : 8,646.08 = 2,066.22 : x
  2. Step 2: Convert to fraction form
    5,764.68/8,646.08 = 2,066.22/x
  3. Step 3: Cross multiply
    5,764.68x = 8,646.08 × 2,066.22
  4. Step 4: Simplify right side
    5,764.68x = 17,864,693.09
  5. Step 5: Solve for x
    x = 17,864,693.09/5,764.68
  6. Step 6: Final answer
    x = 3,098.99

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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.