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Finding the Fourth Proportional to 5,158.71, 7,730.51 and 3,204.99

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Solution

The fourth proportional to 5,158.71, 7,730.51 and 3,204.99 is: 4,802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.71 : 7,730.51 = 3,204.99 : x
  2. Step 2: Convert to fraction form
    5,158.71/7,730.51 = 3,204.99/x
  3. Step 3: Cross multiply
    5,158.71x = 7,730.51 × 3,204.99
  4. Step 4: Simplify right side
    5,158.71x = 24,776,191.22
  5. Step 5: Solve for x
    x = 24,776,191.22/5,158.71
  6. Step 6: Final answer
    x = 4,802.79

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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.