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Finding the Fourth Proportional to 3,617.43, 5,420.13 and 2,298.84

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Solution

The fourth proportional to 3,617.43, 5,420.13 and 2,298.84 is: 3,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.43 : 5,420.13 = 2,298.84 : x
  2. Step 2: Convert to fraction form
    3,617.43/5,420.13 = 2,298.84/x
  3. Step 3: Cross multiply
    3,617.43x = 5,420.13 × 2,298.84
  4. Step 4: Simplify right side
    3,617.43x = 12,460,011.65
  5. Step 5: Solve for x
    x = 12,460,011.65/3,617.43
  6. Step 6: Final answer
    x = 3,444.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.