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Finding the Fourth Proportional to 4,536.57, 6,803.24 and 1,936.47

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Solution

The fourth proportional to 4,536.57, 6,803.24 and 1,936.47 is: 2,904.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.57 : 6,803.24 = 1,936.47 : x
  2. Step 2: Convert to fraction form
    4,536.57/6,803.24 = 1,936.47/x
  3. Step 3: Cross multiply
    4,536.57x = 6,803.24 × 1,936.47
  4. Step 4: Simplify right side
    4,536.57x = 13,174,260.48
  5. Step 5: Solve for x
    x = 13,174,260.48/4,536.57
  6. Step 6: Final answer
    x = 2,904.01

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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.