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Finding the Fourth Proportional to 5,564.75, 8,348.34 and 2,102

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Solution

The fourth proportional to 5,564.75, 8,348.34 and 2,102 is: 3,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.75 : 8,348.34 = 2,102 : x
  2. Step 2: Convert to fraction form
    5,564.75/8,348.34 = 2,102/x
  3. Step 3: Cross multiply
    5,564.75x = 8,348.34 × 2,102
  4. Step 4: Simplify right side
    5,564.75x = 17,548,210.68
  5. Step 5: Solve for x
    x = 17,548,210.68/5,564.75
  6. Step 6: Final answer
    x = 3,153.46

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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.