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Finding the Fourth Proportional to 3,858.22, 5,311.47 and 3,681.91

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Solution

The fourth proportional to 3,858.22, 5,311.47 and 3,681.91 is: 5,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.22 : 5,311.47 = 3,681.91 : x
  2. Step 2: Convert to fraction form
    3,858.22/5,311.47 = 3,681.91/x
  3. Step 3: Cross multiply
    3,858.22x = 5,311.47 × 3,681.91
  4. Step 4: Simplify right side
    3,858.22x = 19,556,354.51
  5. Step 5: Solve for x
    x = 19,556,354.51/3,858.22
  6. Step 6: Final answer
    x = 5,068.75

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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.