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Finding the Fourth Proportional to 4,729.10, 7,129.07 and 4,411.94

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Solution

The fourth proportional to 4,729.10, 7,129.07 and 4,411.94 is: 6,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.10 : 7,129.07 = 4,411.94 : x
  2. Step 2: Convert to fraction form
    4,729.10/7,129.07 = 4,411.94/x
  3. Step 3: Cross multiply
    4,729.10x = 7,129.07 × 4,411.94
  4. Step 4: Simplify right side
    4,729.10x = 31,453,007.04
  5. Step 5: Solve for x
    x = 31,453,007.04/4,729.10
  6. Step 6: Final answer
    x = 6,650.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.