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Finding the Fourth Proportional to 5,287.76, 7,926.05 and 1,774.43

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Solution

The fourth proportional to 5,287.76, 7,926.05 and 1,774.43 is: 2,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.76 : 7,926.05 = 1,774.43 : x
  2. Step 2: Convert to fraction form
    5,287.76/7,926.05 = 1,774.43/x
  3. Step 3: Cross multiply
    5,287.76x = 7,926.05 × 1,774.43
  4. Step 4: Simplify right side
    5,287.76x = 14,064,237.72
  5. Step 5: Solve for x
    x = 14,064,237.72/5,287.76
  6. Step 6: Final answer
    x = 2,659.77

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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.