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Finding the Fourth Proportional to 3,617.56, 4,991.53 and 2,291.70

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Solution

The fourth proportional to 3,617.56, 4,991.53 and 2,291.70 is: 3,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.56 : 4,991.53 = 2,291.70 : x
  2. Step 2: Convert to fraction form
    3,617.56/4,991.53 = 2,291.70/x
  3. Step 3: Cross multiply
    3,617.56x = 4,991.53 × 2,291.70
  4. Step 4: Simplify right side
    3,617.56x = 11,439,089.30
  5. Step 5: Solve for x
    x = 11,439,089.30/3,617.56
  6. Step 6: Final answer
    x = 3,162.10

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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.