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Finding the Fourth Proportional to 4,611.59, 6,922.52 and 2,389.84

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Solution

The fourth proportional to 4,611.59, 6,922.52 and 2,389.84 is: 3,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.59 : 6,922.52 = 2,389.84 : x
  2. Step 2: Convert to fraction form
    4,611.59/6,922.52 = 2,389.84/x
  3. Step 3: Cross multiply
    4,611.59x = 6,922.52 × 2,389.84
  4. Step 4: Simplify right side
    4,611.59x = 16,543,715.20
  5. Step 5: Solve for x
    x = 16,543,715.20/4,611.59
  6. Step 6: Final answer
    x = 3,587.42

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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.