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Finding the Fourth Proportional to 5,798.35, 8,698.14 and 2,511.78

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Solution

The fourth proportional to 5,798.35, 8,698.14 and 2,511.78 is: 3,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.35 : 8,698.14 = 2,511.78 : x
  2. Step 2: Convert to fraction form
    5,798.35/8,698.14 = 2,511.78/x
  3. Step 3: Cross multiply
    5,798.35x = 8,698.14 × 2,511.78
  4. Step 4: Simplify right side
    5,798.35x = 21,847,758.04
  5. Step 5: Solve for x
    x = 21,847,758.04/5,798.35
  6. Step 6: Final answer
    x = 3,767.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.