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Finding the Fourth Proportional to 3,699.65, 5,099.90 and 2,803.66

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Solution

The fourth proportional to 3,699.65, 5,099.90 and 2,803.66 is: 3,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.65 : 5,099.90 = 2,803.66 : x
  2. Step 2: Convert to fraction form
    3,699.65/5,099.90 = 2,803.66/x
  3. Step 3: Cross multiply
    3,699.65x = 5,099.90 × 2,803.66
  4. Step 4: Simplify right side
    3,699.65x = 14,298,358.87
  5. Step 5: Solve for x
    x = 14,298,358.87/3,699.65
  6. Step 6: Final answer
    x = 3,864.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.