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Finding the Fourth Proportional to 5,693.18, 7,855.25 and 3,455.00

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Solution

The fourth proportional to 5,693.18, 7,855.25 and 3,455.00 is: 4,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.18 : 7,855.25 = 3,455.00 : x
  2. Step 2: Convert to fraction form
    5,693.18/7,855.25 = 3,455.00/x
  3. Step 3: Cross multiply
    5,693.18x = 7,855.25 × 3,455.00
  4. Step 4: Simplify right side
    5,693.18x = 27,139,861.66
  5. Step 5: Solve for x
    x = 27,139,861.66/5,693.18
  6. Step 6: Final answer
    x = 4,767.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.