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Finding the Fourth Proportional to 5,308.58, 7,326.17 and 3,071.16

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Solution

The fourth proportional to 5,308.58, 7,326.17 and 3,071.16 is: 4,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.58 : 7,326.17 = 3,071.16 : x
  2. Step 2: Convert to fraction form
    5,308.58/7,326.17 = 3,071.16/x
  3. Step 3: Cross multiply
    5,308.58x = 7,326.17 × 3,071.16
  4. Step 4: Simplify right side
    5,308.58x = 22,499,840.26
  5. Step 5: Solve for x
    x = 22,499,840.26/5,308.58
  6. Step 6: Final answer
    x = 4,238.39

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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.