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Finding the Fourth Proportional to 3,589.01, 4,952.85 and 2,017.00

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Solution

The fourth proportional to 3,589.01, 4,952.85 and 2,017.00 is: 2,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.01 : 4,952.85 = 2,017.00 : x
  2. Step 2: Convert to fraction form
    3,589.01/4,952.85 = 2,017.00/x
  3. Step 3: Cross multiply
    3,589.01x = 4,952.85 × 2,017.00
  4. Step 4: Simplify right side
    3,589.01x = 9,989,897.08
  5. Step 5: Solve for x
    x = 9,989,897.08/3,589.01
  6. Step 6: Final answer
    x = 2,783.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.