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Finding the Fourth Proportional to 3,637.68, 5,457.00 and 1,171.90

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Solution

The fourth proportional to 3,637.68, 5,457.00 and 1,171.90 is: 1,758.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.68 : 5,457.00 = 1,171.90 : x
  2. Step 2: Convert to fraction form
    3,637.68/5,457.00 = 1,171.90/x
  3. Step 3: Cross multiply
    3,637.68x = 5,457.00 × 1,171.90
  4. Step 4: Simplify right side
    3,637.68x = 6,395,069.52
  5. Step 5: Solve for x
    x = 6,395,069.52/3,637.68
  6. Step 6: Final answer
    x = 1,758.01

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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.