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Finding the Fourth Proportional to 4,671.48, 6,446.41 and 2,654.63

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Solution

The fourth proportional to 4,671.48, 6,446.41 and 2,654.63 is: 3,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.48 : 6,446.41 = 2,654.63 : x
  2. Step 2: Convert to fraction form
    4,671.48/6,446.41 = 2,654.63/x
  3. Step 3: Cross multiply
    4,671.48x = 6,446.41 × 2,654.63
  4. Step 4: Simplify right side
    4,671.48x = 17,112,818.68
  5. Step 5: Solve for x
    x = 17,112,818.68/4,671.48
  6. Step 6: Final answer
    x = 3,663.26

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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.