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Finding the Fourth Proportional to 2,825.93, 4,218.23 and 2,617.47

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Solution

The fourth proportional to 2,825.93, 4,218.23 and 2,617.47 is: 3,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.93 : 4,218.23 = 2,617.47 : x
  2. Step 2: Convert to fraction form
    2,825.93/4,218.23 = 2,617.47/x
  3. Step 3: Cross multiply
    2,825.93x = 4,218.23 × 2,617.47
  4. Step 4: Simplify right side
    2,825.93x = 11,041,090.48
  5. Step 5: Solve for x
    x = 11,041,090.48/2,825.93
  6. Step 6: Final answer
    x = 3,907.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.