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Finding the Fourth Proportional to 4,637.70, 6,951.87 and 2,040.18

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Solution

The fourth proportional to 4,637.70, 6,951.87 and 2,040.18 is: 3,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.70 : 6,951.87 = 2,040.18 : x
  2. Step 2: Convert to fraction form
    4,637.70/6,951.87 = 2,040.18/x
  3. Step 3: Cross multiply
    4,637.70x = 6,951.87 × 2,040.18
  4. Step 4: Simplify right side
    4,637.70x = 14,183,066.14
  5. Step 5: Solve for x
    x = 14,183,066.14/4,637.70
  6. Step 6: Final answer
    x = 3,058.21

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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.