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Finding the Fourth Proportional to 4,656.30, 6,994.20 and 3,927.30

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Solution

The fourth proportional to 4,656.30, 6,994.20 and 3,927.30 is: 5,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.30 : 6,994.20 = 3,927.30 : x
  2. Step 2: Convert to fraction form
    4,656.30/6,994.20 = 3,927.30/x
  3. Step 3: Cross multiply
    4,656.30x = 6,994.20 × 3,927.30
  4. Step 4: Simplify right side
    4,656.30x = 27,468,321.66
  5. Step 5: Solve for x
    x = 27,468,321.66/4,656.30
  6. Step 6: Final answer
    x = 5,899.17

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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.