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Finding the Fourth Proportional to 3,407.72, 5,108.82 and 1,066.52

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Solution

The fourth proportional to 3,407.72, 5,108.82 and 1,066.52 is: 1,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.72 : 5,108.82 = 1,066.52 : x
  2. Step 2: Convert to fraction form
    3,407.72/5,108.82 = 1,066.52/x
  3. Step 3: Cross multiply
    3,407.72x = 5,108.82 × 1,066.52
  4. Step 4: Simplify right side
    3,407.72x = 5,448,633.16
  5. Step 5: Solve for x
    x = 5,448,633.16/3,407.72
  6. Step 6: Final answer
    x = 1,598.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.