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Finding the Fourth Proportional to 5,934.91, 8,902.28 and 1,774.95

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Solution

The fourth proportional to 5,934.91, 8,902.28 and 1,774.95 is: 2,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.91 : 8,902.28 = 1,774.95 : x
  2. Step 2: Convert to fraction form
    5,934.91/8,902.28 = 1,774.95/x
  3. Step 3: Cross multiply
    5,934.91x = 8,902.28 × 1,774.95
  4. Step 4: Simplify right side
    5,934.91x = 15,801,101.89
  5. Step 5: Solve for x
    x = 15,801,101.89/5,934.91
  6. Step 6: Final answer
    x = 2,662.40

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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.