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Finding the Fourth Proportional to 5,817.42, 8,725.98 and 1,868.95

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Solution

The fourth proportional to 5,817.42, 8,725.98 and 1,868.95 is: 2,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.42 : 8,725.98 = 1,868.95 : x
  2. Step 2: Convert to fraction form
    5,817.42/8,725.98 = 1,868.95/x
  3. Step 3: Cross multiply
    5,817.42x = 8,725.98 × 1,868.95
  4. Step 4: Simplify right side
    5,817.42x = 16,308,403.18
  5. Step 5: Solve for x
    x = 16,308,403.18/5,817.42
  6. Step 6: Final answer
    x = 2,803.37

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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.