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Finding the Fourth Proportional to 4,172.77, 5,758.43 and 2,404.39

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Solution

The fourth proportional to 4,172.77, 5,758.43 and 2,404.39 is: 3,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.77 : 5,758.43 = 2,404.39 : x
  2. Step 2: Convert to fraction form
    4,172.77/5,758.43 = 2,404.39/x
  3. Step 3: Cross multiply
    4,172.77x = 5,758.43 × 2,404.39
  4. Step 4: Simplify right side
    4,172.77x = 13,845,511.51
  5. Step 5: Solve for x
    x = 13,845,511.51/4,172.77
  6. Step 6: Final answer
    x = 3,318.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.