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Finding the Fourth Proportional to 3,589.50, 4,953.08 and 2,017.68

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Solution

The fourth proportional to 3,589.50, 4,953.08 and 2,017.68 is: 2,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.50 : 4,953.08 = 2,017.68 : x
  2. Step 2: Convert to fraction form
    3,589.50/4,953.08 = 2,017.68/x
  3. Step 3: Cross multiply
    3,589.50x = 4,953.08 × 2,017.68
  4. Step 4: Simplify right side
    3,589.50x = 9,993,730.45
  5. Step 5: Solve for x
    x = 9,993,730.45/3,589.50
  6. Step 6: Final answer
    x = 2,784.16

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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.