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Finding the Fourth Proportional to 3,589.48, 4,952.46 and 2,153.26

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Solution

The fourth proportional to 3,589.48, 4,952.46 and 2,153.26 is: 2,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.48 : 4,952.46 = 2,153.26 : x
  2. Step 2: Convert to fraction form
    3,589.48/4,952.46 = 2,153.26/x
  3. Step 3: Cross multiply
    3,589.48x = 4,952.46 × 2,153.26
  4. Step 4: Simplify right side
    3,589.48x = 10,663,934.02
  5. Step 5: Solve for x
    x = 10,663,934.02/3,589.48
  6. Step 6: Final answer
    x = 2,970.89

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