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Finding the Fourth Proportional to 5,310.90, 7,966.31 and 1,362.15

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Solution

The fourth proportional to 5,310.90, 7,966.31 and 1,362.15 is: 2,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.90 : 7,966.31 = 1,362.15 : x
  2. Step 2: Convert to fraction form
    5,310.90/7,966.31 = 1,362.15/x
  3. Step 3: Cross multiply
    5,310.90x = 7,966.31 × 1,362.15
  4. Step 4: Simplify right side
    5,310.90x = 10,851,312.57
  5. Step 5: Solve for x
    x = 10,851,312.57/5,310.90
  6. Step 6: Final answer
    x = 2,043.22

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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.