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Finding the Fourth Proportional to 5,837.49, 8,756.10 and 1,454.94

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Solution

The fourth proportional to 5,837.49, 8,756.10 and 1,454.94 is: 2,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.49 : 8,756.10 = 1,454.94 : x
  2. Step 2: Convert to fraction form
    5,837.49/8,756.10 = 1,454.94/x
  3. Step 3: Cross multiply
    5,837.49x = 8,756.10 × 1,454.94
  4. Step 4: Simplify right side
    5,837.49x = 12,739,600.13
  5. Step 5: Solve for x
    x = 12,739,600.13/5,837.49
  6. Step 6: Final answer
    x = 2,182.38

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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.