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Finding the Fourth Proportional to 4,564.34, 6,841.84 and 2,100.95

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Solution

The fourth proportional to 4,564.34, 6,841.84 and 2,100.95 is: 3,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.34 : 6,841.84 = 2,100.95 : x
  2. Step 2: Convert to fraction form
    4,564.34/6,841.84 = 2,100.95/x
  3. Step 3: Cross multiply
    4,564.34x = 6,841.84 × 2,100.95
  4. Step 4: Simplify right side
    4,564.34x = 14,374,363.75
  5. Step 5: Solve for x
    x = 14,374,363.75/4,564.34
  6. Step 6: Final answer
    x = 3,149.28

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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.