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Finding the Fourth Proportional to 5,347.54, 8,019.01 and 1,837.90

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Solution

The fourth proportional to 5,347.54, 8,019.01 and 1,837.90 is: 2,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.54 : 8,019.01 = 1,837.90 : x
  2. Step 2: Convert to fraction form
    5,347.54/8,019.01 = 1,837.90/x
  3. Step 3: Cross multiply
    5,347.54x = 8,019.01 × 1,837.90
  4. Step 4: Simplify right side
    5,347.54x = 14,738,129.29
  5. Step 5: Solve for x
    x = 14,738,129.29/5,347.54
  6. Step 6: Final answer
    x = 2,756.06

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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.