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Finding the Fourth Proportional to 3,866.04, 5,326.38 and 3,681.72

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Solution

The fourth proportional to 3,866.04, 5,326.38 and 3,681.72 is: 5,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.04 : 5,326.38 = 3,681.72 : x
  2. Step 2: Convert to fraction form
    3,866.04/5,326.38 = 3,681.72/x
  3. Step 3: Cross multiply
    3,866.04x = 5,326.38 × 3,681.72
  4. Step 4: Simplify right side
    3,866.04x = 19,610,239.77
  5. Step 5: Solve for x
    x = 19,610,239.77/3,866.04
  6. Step 6: Final answer
    x = 5,072.44

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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.