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Finding the Fourth Proportional to 5,851.30, 8,775.99 and 2,731.63

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Solution

The fourth proportional to 5,851.30, 8,775.99 and 2,731.63 is: 4,097.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.30 : 8,775.99 = 2,731.63 : x
  2. Step 2: Convert to fraction form
    5,851.30/8,775.99 = 2,731.63/x
  3. Step 3: Cross multiply
    5,851.30x = 8,775.99 × 2,731.63
  4. Step 4: Simplify right side
    5,851.30x = 23,972,742.45
  5. Step 5: Solve for x
    x = 23,972,742.45/5,851.30
  6. Step 6: Final answer
    x = 4,097.00

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Why These Related Problems?

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