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Finding the Fourth Proportional to 4,704.66, 7,059.29 and 1,932.17

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Solution

The fourth proportional to 4,704.66, 7,059.29 and 1,932.17 is: 2,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.66 : 7,059.29 = 1,932.17 : x
  2. Step 2: Convert to fraction form
    4,704.66/7,059.29 = 1,932.17/x
  3. Step 3: Cross multiply
    4,704.66x = 7,059.29 × 1,932.17
  4. Step 4: Simplify right side
    4,704.66x = 13,639,703.40
  5. Step 5: Solve for x
    x = 13,639,703.40/4,704.66
  6. Step 6: Final answer
    x = 2,899.19

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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.