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Finding the Fourth Proportional to 3,810.06, 5,714.10 and 1,617.66

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Solution

The fourth proportional to 3,810.06, 5,714.10 and 1,617.66 is: 2,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.06 : 5,714.10 = 1,617.66 : x
  2. Step 2: Convert to fraction form
    3,810.06/5,714.10 = 1,617.66/x
  3. Step 3: Cross multiply
    3,810.06x = 5,714.10 × 1,617.66
  4. Step 4: Simplify right side
    3,810.06x = 9,243,471.01
  5. Step 5: Solve for x
    x = 9,243,471.01/3,810.06
  6. Step 6: Final answer
    x = 2,426.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.