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Finding the Fourth Proportional to 3,875.09, 5,813.40 and 1,534.66

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Solution

The fourth proportional to 3,875.09, 5,813.40 and 1,534.66 is: 2,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.09 : 5,813.40 = 1,534.66 : x
  2. Step 2: Convert to fraction form
    3,875.09/5,813.40 = 1,534.66/x
  3. Step 3: Cross multiply
    3,875.09x = 5,813.40 × 1,534.66
  4. Step 4: Simplify right side
    3,875.09x = 8,921,593.46
  5. Step 5: Solve for x
    x = 8,921,593.46/3,875.09
  6. Step 6: Final answer
    x = 2,302.29

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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.