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Finding the Fourth Proportional to 4,210.62, 5,812.02 and 2,443.98

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Solution

The fourth proportional to 4,210.62, 5,812.02 and 2,443.98 is: 3,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.62 : 5,812.02 = 2,443.98 : x
  2. Step 2: Convert to fraction form
    4,210.62/5,812.02 = 2,443.98/x
  3. Step 3: Cross multiply
    4,210.62x = 5,812.02 × 2,443.98
  4. Step 4: Simplify right side
    4,210.62x = 14,204,460.64
  5. Step 5: Solve for x
    x = 14,204,460.64/4,210.62
  6. Step 6: Final answer
    x = 3,373.48

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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.