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Finding the Fourth Proportional to 3,531.94, 5,298 and 3,015.52

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Solution

The fourth proportional to 3,531.94, 5,298 and 3,015.52 is: 4,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.94 : 5,298 = 3,015.52 : x
  2. Step 2: Convert to fraction form
    3,531.94/5,298 = 3,015.52/x
  3. Step 3: Cross multiply
    3,531.94x = 5,298 × 3,015.52
  4. Step 4: Simplify right side
    3,531.94x = 15,976,224.96
  5. Step 5: Solve for x
    x = 15,976,224.96/3,531.94
  6. Step 6: Final answer
    x = 4,523.36

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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.