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Finding the Fourth Proportional to 3,614.96, 5,422.40 and 1,017.88

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Solution

The fourth proportional to 3,614.96, 5,422.40 and 1,017.88 is: 1,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.96 : 5,422.40 = 1,017.88 : x
  2. Step 2: Convert to fraction form
    3,614.96/5,422.40 = 1,017.88/x
  3. Step 3: Cross multiply
    3,614.96x = 5,422.40 × 1,017.88
  4. Step 4: Simplify right side
    3,614.96x = 5,519,352.51
  5. Step 5: Solve for x
    x = 5,519,352.51/3,614.96
  6. Step 6: Final answer
    x = 1,526.81

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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.