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Finding the Fourth Proportional to 3,858.36, 5,817.57 and 3,534.36

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Solution

The fourth proportional to 3,858.36, 5,817.57 and 3,534.36 is: 5,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.36 : 5,817.57 = 3,534.36 : x
  2. Step 2: Convert to fraction form
    3,858.36/5,817.57 = 3,534.36/x
  3. Step 3: Cross multiply
    3,858.36x = 5,817.57 × 3,534.36
  4. Step 4: Simplify right side
    3,858.36x = 20,561,386.71
  5. Step 5: Solve for x
    x = 20,561,386.71/3,858.36
  6. Step 6: Final answer
    x = 5,329.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.