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Finding the Fourth Proportional to 4,300.62, 5,935.10 and 2,412.80

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Solution

The fourth proportional to 4,300.62, 5,935.10 and 2,412.80 is: 3,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.62 : 5,935.10 = 2,412.80 : x
  2. Step 2: Convert to fraction form
    4,300.62/5,935.10 = 2,412.80/x
  3. Step 3: Cross multiply
    4,300.62x = 5,935.10 × 2,412.80
  4. Step 4: Simplify right side
    4,300.62x = 14,320,223.18
  5. Step 5: Solve for x
    x = 14,320,223.18/4,300.62
  6. Step 6: Final answer
    x = 3,329.80

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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.