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Finding the Fourth Proportional to 5,496.67, 8,246.49 and 1,798.41

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Solution

The fourth proportional to 5,496.67, 8,246.49 and 1,798.41 is: 2,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.67 : 8,246.49 = 1,798.41 : x
  2. Step 2: Convert to fraction form
    5,496.67/8,246.49 = 1,798.41/x
  3. Step 3: Cross multiply
    5,496.67x = 8,246.49 × 1,798.41
  4. Step 4: Simplify right side
    5,496.67x = 14,830,570.08
  5. Step 5: Solve for x
    x = 14,830,570.08/5,496.67
  6. Step 6: Final answer
    x = 2,698.10

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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.