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Finding the Fourth Proportional to 4,200.66, 6,308.28 and 2,645.46

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Solution

The fourth proportional to 4,200.66, 6,308.28 and 2,645.46 is: 3,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.66 : 6,308.28 = 2,645.46 : x
  2. Step 2: Convert to fraction form
    4,200.66/6,308.28 = 2,645.46/x
  3. Step 3: Cross multiply
    4,200.66x = 6,308.28 × 2,645.46
  4. Step 4: Simplify right side
    4,200.66x = 16,688,302.41
  5. Step 5: Solve for x
    x = 16,688,302.41/4,200.66
  6. Step 6: Final answer
    x = 3,972.78

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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.