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Finding the Fourth Proportional to 4,810, 6,637.84 and 2,714.16

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Solution

The fourth proportional to 4,810, 6,637.84 and 2,714.16 is: 3,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810 : 6,637.84 = 2,714.16 : x
  2. Step 2: Convert to fraction form
    4,810/6,637.84 = 2,714.16/x
  3. Step 3: Cross multiply
    4,810x = 6,637.84 × 2,714.16
  4. Step 4: Simplify right side
    4,810x = 18,016,159.81
  5. Step 5: Solve for x
    x = 18,016,159.81/4,810
  6. Step 6: Final answer
    x = 3,745.56

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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.