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Finding the Fourth Proportional to 3,602.25, 4,971.39 and 2,009.42

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Solution

The fourth proportional to 3,602.25, 4,971.39 and 2,009.42 is: 2,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.25 : 4,971.39 = 2,009.42 : x
  2. Step 2: Convert to fraction form
    3,602.25/4,971.39 = 2,009.42/x
  3. Step 3: Cross multiply
    3,602.25x = 4,971.39 × 2,009.42
  4. Step 4: Simplify right side
    3,602.25x = 9,989,610.49
  5. Step 5: Solve for x
    x = 9,989,610.49/3,602.25
  6. Step 6: Final answer
    x = 2,773.16

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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.