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Finding the Fourth Proportional to 3,534.86, 4,872.52 and 2,824.46

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Solution

The fourth proportional to 3,534.86, 4,872.52 and 2,824.46 is: 3,893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.86 : 4,872.52 = 2,824.46 : x
  2. Step 2: Convert to fraction form
    3,534.86/4,872.52 = 2,824.46/x
  3. Step 3: Cross multiply
    3,534.86x = 4,872.52 × 2,824.46
  4. Step 4: Simplify right side
    3,534.86x = 13,762,237.84
  5. Step 5: Solve for x
    x = 13,762,237.84/3,534.86
  6. Step 6: Final answer
    x = 3,893.29

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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.