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Finding the Fourth Proportional to 3,875.41, 5,813.72 and 1,534.24

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Solution

The fourth proportional to 3,875.41, 5,813.72 and 1,534.24 is: 2,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.41 : 5,813.72 = 1,534.24 : x
  2. Step 2: Convert to fraction form
    3,875.41/5,813.72 = 1,534.24/x
  3. Step 3: Cross multiply
    3,875.41x = 5,813.72 × 1,534.24
  4. Step 4: Simplify right side
    3,875.41x = 8,919,605.03
  5. Step 5: Solve for x
    x = 8,919,605.03/3,875.41
  6. Step 6: Final answer
    x = 2,301.59

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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.