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Finding the Fourth Proportional to 4,809.42, 6,637.50 and 2,714.22

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Solution

The fourth proportional to 4,809.42, 6,637.50 and 2,714.22 is: 3,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.42 : 6,637.50 = 2,714.22 : x
  2. Step 2: Convert to fraction form
    4,809.42/6,637.50 = 2,714.22/x
  3. Step 3: Cross multiply
    4,809.42x = 6,637.50 × 2,714.22
  4. Step 4: Simplify right side
    4,809.42x = 18,015,635.25
  5. Step 5: Solve for x
    x = 18,015,635.25/4,809.42
  6. Step 6: Final answer
    x = 3,745.91

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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.