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Finding the Fourth Proportional to 4,705.47, 6,493.23 and 2,714.49

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Solution

The fourth proportional to 4,705.47, 6,493.23 and 2,714.49 is: 3,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.47 : 6,493.23 = 2,714.49 : x
  2. Step 2: Convert to fraction form
    4,705.47/6,493.23 = 2,714.49/x
  3. Step 3: Cross multiply
    4,705.47x = 6,493.23 × 2,714.49
  4. Step 4: Simplify right side
    4,705.47x = 17,625,807.90
  5. Step 5: Solve for x
    x = 17,625,807.90/4,705.47
  6. Step 6: Final answer
    x = 3,745.81

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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.