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Finding the Fourth Proportional to 3,881.54, 5,822.32 and 1,416.36

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Solution

The fourth proportional to 3,881.54, 5,822.32 and 1,416.36 is: 2,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.54 : 5,822.32 = 1,416.36 : x
  2. Step 2: Convert to fraction form
    3,881.54/5,822.32 = 1,416.36/x
  3. Step 3: Cross multiply
    3,881.54x = 5,822.32 × 1,416.36
  4. Step 4: Simplify right side
    3,881.54x = 8,246,501.16
  5. Step 5: Solve for x
    x = 8,246,501.16/3,881.54
  6. Step 6: Final answer
    x = 2,124.54

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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.