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Finding the Fourth Proportional to 3,602.24, 4,971.12 and 2,030.36

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Solution

The fourth proportional to 3,602.24, 4,971.12 and 2,030.36 is: 2,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.24 : 4,971.12 = 2,030.36 : x
  2. Step 2: Convert to fraction form
    3,602.24/4,971.12 = 2,030.36/x
  3. Step 3: Cross multiply
    3,602.24x = 4,971.12 × 2,030.36
  4. Step 4: Simplify right side
    3,602.24x = 10,093,163.20
  5. Step 5: Solve for x
    x = 10,093,163.20/3,602.24
  6. Step 6: Final answer
    x = 2,801.91

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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.