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Finding the Fourth Proportional to 3,634.88, 5,452.29 and 2,402.00

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Solution

The fourth proportional to 3,634.88, 5,452.29 and 2,402.00 is: 3,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.88 : 5,452.29 = 2,402.00 : x
  2. Step 2: Convert to fraction form
    3,634.88/5,452.29 = 2,402.00/x
  3. Step 3: Cross multiply
    3,634.88x = 5,452.29 × 2,402.00
  4. Step 4: Simplify right side
    3,634.88x = 13,096,373.32
  5. Step 5: Solve for x
    x = 13,096,373.32/3,634.88
  6. Step 6: Final answer
    x = 3,602.98

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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.