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Finding the Fourth Proportional to 3,153.29, 4,729.37 and 1,073.13

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Solution

The fourth proportional to 3,153.29, 4,729.37 and 1,073.13 is: 1,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.29 : 4,729.37 = 1,073.13 : x
  2. Step 2: Convert to fraction form
    3,153.29/4,729.37 = 1,073.13/x
  3. Step 3: Cross multiply
    3,153.29x = 4,729.37 × 1,073.13
  4. Step 4: Simplify right side
    3,153.29x = 5,075,223.46
  5. Step 5: Solve for x
    x = 5,075,223.46/3,153.29
  6. Step 6: Final answer
    x = 1,609.50

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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.