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Finding the Fourth Proportional to 5,309.53, 7,334.03 and 4,042.87

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Solution

The fourth proportional to 5,309.53, 7,334.03 and 4,042.87 is: 5,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.53 : 7,334.03 = 4,042.87 : x
  2. Step 2: Convert to fraction form
    5,309.53/7,334.03 = 4,042.87/x
  3. Step 3: Cross multiply
    5,309.53x = 7,334.03 × 4,042.87
  4. Step 4: Simplify right side
    5,309.53x = 29,650,529.87
  5. Step 5: Solve for x
    x = 29,650,529.87/5,309.53
  6. Step 6: Final answer
    x = 5,584.40

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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.