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Finding the Fourth Proportional to 5,203.69, 7,807.13 and 1,694.01

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Solution

The fourth proportional to 5,203.69, 7,807.13 and 1,694.01 is: 2,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.69 : 7,807.13 = 1,694.01 : x
  2. Step 2: Convert to fraction form
    5,203.69/7,807.13 = 1,694.01/x
  3. Step 3: Cross multiply
    5,203.69x = 7,807.13 × 1,694.01
  4. Step 4: Simplify right side
    5,203.69x = 13,225,392.98
  5. Step 5: Solve for x
    x = 13,225,392.98/5,203.69
  6. Step 6: Final answer
    x = 2,541.54

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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.