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Finding the Fourth Proportional to 5,862.84, 8,784.50 and 4,127.82

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Solution

The fourth proportional to 5,862.84, 8,784.50 and 4,127.82 is: 6,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.84 : 8,784.50 = 4,127.82 : x
  2. Step 2: Convert to fraction form
    5,862.84/8,784.50 = 4,127.82/x
  3. Step 3: Cross multiply
    5,862.84x = 8,784.50 × 4,127.82
  4. Step 4: Simplify right side
    5,862.84x = 36,260,834.79
  5. Step 5: Solve for x
    x = 36,260,834.79/5,862.84
  6. Step 6: Final answer
    x = 6,184.86

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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.