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Finding the Fourth Proportional to 3,365.97, 5,047.87 and 1,114.08

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Solution

The fourth proportional to 3,365.97, 5,047.87 and 1,114.08 is: 1,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.97 : 5,047.87 = 1,114.08 : x
  2. Step 2: Convert to fraction form
    3,365.97/5,047.87 = 1,114.08/x
  3. Step 3: Cross multiply
    3,365.97x = 5,047.87 × 1,114.08
  4. Step 4: Simplify right side
    3,365.97x = 5,623,700.20
  5. Step 5: Solve for x
    x = 5,623,700.20/3,365.97
  6. Step 6: Final answer
    x = 1,670.75

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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.