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Finding the Fourth Proportional to 5,308.06, 7,962.06 and 1,359.31

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Solution

The fourth proportional to 5,308.06, 7,962.06 and 1,359.31 is: 2,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.06 : 7,962.06 = 1,359.31 : x
  2. Step 2: Convert to fraction form
    5,308.06/7,962.06 = 1,359.31/x
  3. Step 3: Cross multiply
    5,308.06x = 7,962.06 × 1,359.31
  4. Step 4: Simplify right side
    5,308.06x = 10,822,907.78
  5. Step 5: Solve for x
    x = 10,822,907.78/5,308.06
  6. Step 6: Final answer
    x = 2,038.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.