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Finding the Fourth Proportional to 5,784.50, 8,677.16 and 2,321.75

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Solution

The fourth proportional to 5,784.50, 8,677.16 and 2,321.75 is: 3,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.50 : 8,677.16 = 2,321.75 : x
  2. Step 2: Convert to fraction form
    5,784.50/8,677.16 = 2,321.75/x
  3. Step 3: Cross multiply
    5,784.50x = 8,677.16 × 2,321.75
  4. Step 4: Simplify right side
    5,784.50x = 20,146,196.23
  5. Step 5: Solve for x
    x = 20,146,196.23/5,784.50
  6. Step 6: Final answer
    x = 3,482.79

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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.