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Finding the Fourth Proportional to 3,881.52, 5,822.69 and 1,416.56

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Solution

The fourth proportional to 3,881.52, 5,822.69 and 1,416.56 is: 2,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.52 : 5,822.69 = 1,416.56 : x
  2. Step 2: Convert to fraction form
    3,881.52/5,822.69 = 1,416.56/x
  3. Step 3: Cross multiply
    3,881.52x = 5,822.69 × 1,416.56
  4. Step 4: Simplify right side
    3,881.52x = 8,248,153.55
  5. Step 5: Solve for x
    x = 8,248,153.55/3,881.52
  6. Step 6: Final answer
    x = 2,124.98

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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.