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Finding the Fourth Proportional to 5,137.68, 7,700.21 and 2,792.13

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Solution

The fourth proportional to 5,137.68, 7,700.21 and 2,792.13 is: 4,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.68 : 7,700.21 = 2,792.13 : x
  2. Step 2: Convert to fraction form
    5,137.68/7,700.21 = 2,792.13/x
  3. Step 3: Cross multiply
    5,137.68x = 7,700.21 × 2,792.13
  4. Step 4: Simplify right side
    5,137.68x = 21,499,987.35
  5. Step 5: Solve for x
    x = 21,499,987.35/5,137.68
  6. Step 6: Final answer
    x = 4,184.77

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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.