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Finding the Fourth Proportional to 3,875.33, 5,812.84 and 1,535.24

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Solution

The fourth proportional to 3,875.33, 5,812.84 and 1,535.24 is: 2,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.33 : 5,812.84 = 1,535.24 : x
  2. Step 2: Convert to fraction form
    3,875.33/5,812.84 = 1,535.24/x
  3. Step 3: Cross multiply
    3,875.33x = 5,812.84 × 1,535.24
  4. Step 4: Simplify right side
    3,875.33x = 8,924,104.48
  5. Step 5: Solve for x
    x = 8,924,104.48/3,875.33
  6. Step 6: Final answer
    x = 2,302.80

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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.