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Finding the Fourth Proportional to 3,564.17, 4,918.17 and 2,071.77

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Solution

The fourth proportional to 3,564.17, 4,918.17 and 2,071.77 is: 2,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.17 : 4,918.17 = 2,071.77 : x
  2. Step 2: Convert to fraction form
    3,564.17/4,918.17 = 2,071.77/x
  3. Step 3: Cross multiply
    3,564.17x = 4,918.17 × 2,071.77
  4. Step 4: Simplify right side
    3,564.17x = 10,189,317.06
  5. Step 5: Solve for x
    x = 10,189,317.06/3,564.17
  6. Step 6: Final answer
    x = 2,858.82

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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.