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Finding the Fourth Proportional to 5,383.10, 8,074.04 and 1,487

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Solution

The fourth proportional to 5,383.10, 8,074.04 and 1,487 is: 2,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.10 : 8,074.04 = 1,487 : x
  2. Step 2: Convert to fraction form
    5,383.10/8,074.04 = 1,487/x
  3. Step 3: Cross multiply
    5,383.10x = 8,074.04 × 1,487
  4. Step 4: Simplify right side
    5,383.10x = 12,006,097.48
  5. Step 5: Solve for x
    x = 12,006,097.48/5,383.10
  6. Step 6: Final answer
    x = 2,230.33

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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.