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Finding the Fourth Proportional to 4,671.76, 6,446.26 and 2,905.80

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Solution

The fourth proportional to 4,671.76, 6,446.26 and 2,905.80 is: 4,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.76 : 6,446.26 = 2,905.80 : x
  2. Step 2: Convert to fraction form
    4,671.76/6,446.26 = 2,905.80/x
  3. Step 3: Cross multiply
    4,671.76x = 6,446.26 × 2,905.80
  4. Step 4: Simplify right side
    4,671.76x = 18,731,542.31
  5. Step 5: Solve for x
    x = 18,731,542.31/4,671.76
  6. Step 6: Final answer
    x = 4,009.53

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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.