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Finding the Fourth Proportional to 5,784.57, 8,677.04 and 2,497.05

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Solution

The fourth proportional to 5,784.57, 8,677.04 and 2,497.05 is: 3,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.57 : 8,677.04 = 2,497.05 : x
  2. Step 2: Convert to fraction form
    5,784.57/8,677.04 = 2,497.05/x
  3. Step 3: Cross multiply
    5,784.57x = 8,677.04 × 2,497.05
  4. Step 4: Simplify right side
    5,784.57x = 21,666,990.25
  5. Step 5: Solve for x
    x = 21,666,990.25/5,784.57
  6. Step 6: Final answer
    x = 3,745.65

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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.