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Finding the Fourth Proportional to 3,858.36, 5,329.98 and 3,071.40

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Solution

The fourth proportional to 3,858.36, 5,329.98 and 3,071.40 is: 4,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.36 : 5,329.98 = 3,071.40 : x
  2. Step 2: Convert to fraction form
    3,858.36/5,329.98 = 3,071.40/x
  3. Step 3: Cross multiply
    3,858.36x = 5,329.98 × 3,071.40
  4. Step 4: Simplify right side
    3,858.36x = 16,370,500.57
  5. Step 5: Solve for x
    x = 16,370,500.57/3,858.36
  6. Step 6: Final answer
    x = 4,242.86

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