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Finding the Fourth Proportional to 4,591.68, 6,886.29 and 1,994

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Solution

The fourth proportional to 4,591.68, 6,886.29 and 1,994 is: 2,990.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.68 : 6,886.29 = 1,994 : x
  2. Step 2: Convert to fraction form
    4,591.68/6,886.29 = 1,994/x
  3. Step 3: Cross multiply
    4,591.68x = 6,886.29 × 1,994
  4. Step 4: Simplify right side
    4,591.68x = 13,731,262.26
  5. Step 5: Solve for x
    x = 13,731,262.26/4,591.68
  6. Step 6: Final answer
    x = 2,990.47

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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.