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Finding the Fourth Proportional to 5,308.58, 7,329.12 and 3,420.83

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Solution

The fourth proportional to 5,308.58, 7,329.12 and 3,420.83 is: 4,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.58 : 7,329.12 = 3,420.83 : x
  2. Step 2: Convert to fraction form
    5,308.58/7,329.12 = 3,420.83/x
  3. Step 3: Cross multiply
    5,308.58x = 7,329.12 × 3,420.83
  4. Step 4: Simplify right side
    5,308.58x = 25,071,673.57
  5. Step 5: Solve for x
    x = 25,071,673.57/5,308.58
  6. Step 6: Final answer
    x = 4,722.86

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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.