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Finding the Fourth Proportional to 4,594.68, 6,890.78 and 1,997

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Solution

The fourth proportional to 4,594.68, 6,890.78 and 1,997 is: 2,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.68 : 6,890.78 = 1,997 : x
  2. Step 2: Convert to fraction form
    4,594.68/6,890.78 = 1,997/x
  3. Step 3: Cross multiply
    4,594.68x = 6,890.78 × 1,997
  4. Step 4: Simplify right side
    4,594.68x = 13,760,887.66
  5. Step 5: Solve for x
    x = 13,760,887.66/4,594.68
  6. Step 6: Final answer
    x = 2,994.96

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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.