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Finding the Fourth Proportional to 3,807.96, 5,715.18 and 1,501.08

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Solution

The fourth proportional to 3,807.96, 5,715.18 and 1,501.08 is: 2,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.96 : 5,715.18 = 1,501.08 : x
  2. Step 2: Convert to fraction form
    3,807.96/5,715.18 = 1,501.08/x
  3. Step 3: Cross multiply
    3,807.96x = 5,715.18 × 1,501.08
  4. Step 4: Simplify right side
    3,807.96x = 8,578,942.39
  5. Step 5: Solve for x
    x = 8,578,942.39/3,807.96
  6. Step 6: Final answer
    x = 2,252.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.