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Finding the Fourth Proportional to 3,884.48, 5,821.53 and 1,416.98

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Solution

The fourth proportional to 3,884.48, 5,821.53 and 1,416.98 is: 2,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.48 : 5,821.53 = 1,416.98 : x
  2. Step 2: Convert to fraction form
    3,884.48/5,821.53 = 1,416.98/x
  3. Step 3: Cross multiply
    3,884.48x = 5,821.53 × 1,416.98
  4. Step 4: Simplify right side
    3,884.48x = 8,248,991.58
  5. Step 5: Solve for x
    x = 8,248,991.58/3,884.48
  6. Step 6: Final answer
    x = 2,123.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.