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Finding the Fourth Proportional to 5,308.50, 7,326.18 and 3,071.02

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Solution

The fourth proportional to 5,308.50, 7,326.18 and 3,071.02 is: 4,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.50 : 7,326.18 = 3,071.02 : x
  2. Step 2: Convert to fraction form
    5,308.50/7,326.18 = 3,071.02/x
  3. Step 3: Cross multiply
    5,308.50x = 7,326.18 × 3,071.02
  4. Step 4: Simplify right side
    5,308.50x = 22,498,845.30
  5. Step 5: Solve for x
    x = 22,498,845.30/5,308.50
  6. Step 6: Final answer
    x = 4,238.27

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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.