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Finding the Fourth Proportional to 3,089.94, 4,637.01 and 1,142.22

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Solution

The fourth proportional to 3,089.94, 4,637.01 and 1,142.22 is: 1,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.94 : 4,637.01 = 1,142.22 : x
  2. Step 2: Convert to fraction form
    3,089.94/4,637.01 = 1,142.22/x
  3. Step 3: Cross multiply
    3,089.94x = 4,637.01 × 1,142.22
  4. Step 4: Simplify right side
    3,089.94x = 5,296,485.56
  5. Step 5: Solve for x
    x = 5,296,485.56/3,089.94
  6. Step 6: Final answer
    x = 1,714.11

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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.