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Finding the Fourth Proportional to 5,347.76, 8,021.76 and 1,837.74

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Solution

The fourth proportional to 5,347.76, 8,021.76 and 1,837.74 is: 2,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.76 : 8,021.76 = 1,837.74 : x
  2. Step 2: Convert to fraction form
    5,347.76/8,021.76 = 1,837.74/x
  3. Step 3: Cross multiply
    5,347.76x = 8,021.76 × 1,837.74
  4. Step 4: Simplify right side
    5,347.76x = 14,741,909.22
  5. Step 5: Solve for x
    x = 14,741,909.22/5,347.76
  6. Step 6: Final answer
    x = 2,756.65

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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.