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Finding the Fourth Proportional to 5,064.81, 7,583.22 and 2,594.31

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Solution

The fourth proportional to 5,064.81, 7,583.22 and 2,594.31 is: 3,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.81 : 7,583.22 = 2,594.31 : x
  2. Step 2: Convert to fraction form
    5,064.81/7,583.22 = 2,594.31/x
  3. Step 3: Cross multiply
    5,064.81x = 7,583.22 × 2,594.31
  4. Step 4: Simplify right side
    5,064.81x = 19,673,223.48
  5. Step 5: Solve for x
    x = 19,673,223.48/5,064.81
  6. Step 6: Final answer
    x = 3,884.30

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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.