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Finding the Fourth Proportional to 5,857.36, 8,776.12 and 3,544

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Solution

The fourth proportional to 5,857.36, 8,776.12 and 3,544 is: 5,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.36 : 8,776.12 = 3,544 : x
  2. Step 2: Convert to fraction form
    5,857.36/8,776.12 = 3,544/x
  3. Step 3: Cross multiply
    5,857.36x = 8,776.12 × 3,544
  4. Step 4: Simplify right side
    5,857.36x = 31,102,569.28
  5. Step 5: Solve for x
    x = 31,102,569.28/5,857.36
  6. Step 6: Final answer
    x = 5,310.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.