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Finding the Fourth Proportional to 5,837.36, 8,746.14 and 3,524

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Solution

The fourth proportional to 5,837.36, 8,746.14 and 3,524 is: 5,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.36 : 8,746.14 = 3,524 : x
  2. Step 2: Convert to fraction form
    5,837.36/8,746.14 = 3,524/x
  3. Step 3: Cross multiply
    5,837.36x = 8,746.14 × 3,524
  4. Step 4: Simplify right side
    5,837.36x = 30,821,397.36
  5. Step 5: Solve for x
    x = 30,821,397.36/5,837.36
  6. Step 6: Final answer
    x = 5,280.02

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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.