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Finding the Fourth Proportional to 3,875.66, 5,814.09 and 1,534.49

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Solution

The fourth proportional to 3,875.66, 5,814.09 and 1,534.49 is: 2,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.66 : 5,814.09 = 1,534.49 : x
  2. Step 2: Convert to fraction form
    3,875.66/5,814.09 = 1,534.49/x
  3. Step 3: Cross multiply
    3,875.66x = 5,814.09 × 1,534.49
  4. Step 4: Simplify right side
    3,875.66x = 8,921,633.89
  5. Step 5: Solve for x
    x = 8,921,633.89/3,875.66
  6. Step 6: Final answer
    x = 2,301.97

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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.