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Finding the Fourth Proportional to 5,568.98, 8,355.12 and 2,106.50

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Solution

The fourth proportional to 5,568.98, 8,355.12 and 2,106.50 is: 3,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.98 : 8,355.12 = 2,106.50 : x
  2. Step 2: Convert to fraction form
    5,568.98/8,355.12 = 2,106.50/x
  3. Step 3: Cross multiply
    5,568.98x = 8,355.12 × 2,106.50
  4. Step 4: Simplify right side
    5,568.98x = 17,600,060.28
  5. Step 5: Solve for x
    x = 17,600,060.28/5,568.98
  6. Step 6: Final answer
    x = 3,160.37

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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.