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Finding the Fourth Proportional to 5,854.29, 8,776.14 and 2,154

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Solution

The fourth proportional to 5,854.29, 8,776.14 and 2,154 is: 3,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.29 : 8,776.14 = 2,154 : x
  2. Step 2: Convert to fraction form
    5,854.29/8,776.14 = 2,154/x
  3. Step 3: Cross multiply
    5,854.29x = 8,776.14 × 2,154
  4. Step 4: Simplify right side
    5,854.29x = 18,903,805.56
  5. Step 5: Solve for x
    x = 18,903,805.56/5,854.29
  6. Step 6: Final answer
    x = 3,229.05

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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.