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Finding the Fourth Proportional to 4,809.42, 6,637.62 and 2,820.74

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Solution

The fourth proportional to 4,809.42, 6,637.62 and 2,820.74 is: 3,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.42 : 6,637.62 = 2,820.74 : x
  2. Step 2: Convert to fraction form
    4,809.42/6,637.62 = 2,820.74/x
  3. Step 3: Cross multiply
    4,809.42x = 6,637.62 × 2,820.74
  4. Step 4: Simplify right side
    4,809.42x = 18,723,000.24
  5. Step 5: Solve for x
    x = 18,723,000.24/4,809.42
  6. Step 6: Final answer
    x = 3,892.99

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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.