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Finding the Fourth Proportional to 4,742.83, 6,546 and 2,753.34

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Solution

The fourth proportional to 4,742.83, 6,546 and 2,753.34 is: 3,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.83 : 6,546 = 2,753.34 : x
  2. Step 2: Convert to fraction form
    4,742.83/6,546 = 2,753.34/x
  3. Step 3: Cross multiply
    4,742.83x = 6,546 × 2,753.34
  4. Step 4: Simplify right side
    4,742.83x = 18,023,363.64
  5. Step 5: Solve for x
    x = 18,023,363.64/4,742.83
  6. Step 6: Final answer
    x = 3,800.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.