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Finding the Fourth Proportional to 3,881.41, 5,822.57 and 1,417.39

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Solution

The fourth proportional to 3,881.41, 5,822.57 and 1,417.39 is: 2,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.41 : 5,822.57 = 1,417.39 : x
  2. Step 2: Convert to fraction form
    3,881.41/5,822.57 = 1,417.39/x
  3. Step 3: Cross multiply
    3,881.41x = 5,822.57 × 1,417.39
  4. Step 4: Simplify right side
    3,881.41x = 8,252,852.49
  5. Step 5: Solve for x
    x = 8,252,852.49/3,881.41
  6. Step 6: Final answer
    x = 2,126.25

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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.