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Finding the Fourth Proportional to 5,854.87, 8,774 and 2,153.37

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Solution

The fourth proportional to 5,854.87, 8,774 and 2,153.37 is: 3,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.87 : 8,774 = 2,153.37 : x
  2. Step 2: Convert to fraction form
    5,854.87/8,774 = 2,153.37/x
  3. Step 3: Cross multiply
    5,854.87x = 8,774 × 2,153.37
  4. Step 4: Simplify right side
    5,854.87x = 18,893,668.38
  5. Step 5: Solve for x
    x = 18,893,668.38/5,854.87
  6. Step 6: Final answer
    x = 3,227.00

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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.