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Finding the Fourth Proportional to 5,784.84, 8,677.17 and 1,402.27

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Solution

The fourth proportional to 5,784.84, 8,677.17 and 1,402.27 is: 2,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.84 : 8,677.17 = 1,402.27 : x
  2. Step 2: Convert to fraction form
    5,784.84/8,677.17 = 1,402.27/x
  3. Step 3: Cross multiply
    5,784.84x = 8,677.17 × 1,402.27
  4. Step 4: Simplify right side
    5,784.84x = 12,167,735.18
  5. Step 5: Solve for x
    x = 12,167,735.18/5,784.84
  6. Step 6: Final answer
    x = 2,103.38

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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.