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Finding the Fourth Proportional to 5,690.58, 7,855.14 and 3,333.48

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Solution

The fourth proportional to 5,690.58, 7,855.14 and 3,333.48 is: 4,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.58 : 7,855.14 = 3,333.48 : x
  2. Step 2: Convert to fraction form
    5,690.58/7,855.14 = 3,333.48/x
  3. Step 3: Cross multiply
    5,690.58x = 7,855.14 × 3,333.48
  4. Step 4: Simplify right side
    5,690.58x = 26,184,952.09
  5. Step 5: Solve for x
    x = 26,184,952.09/5,690.58
  6. Step 6: Final answer
    x = 4,601.46

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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.