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Finding the Fourth Proportional to 4,694.78, 7,039.95 and 1,732.47

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Solution

The fourth proportional to 4,694.78, 7,039.95 and 1,732.47 is: 2,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.78 : 7,039.95 = 1,732.47 : x
  2. Step 2: Convert to fraction form
    4,694.78/7,039.95 = 1,732.47/x
  3. Step 3: Cross multiply
    4,694.78x = 7,039.95 × 1,732.47
  4. Step 4: Simplify right side
    4,694.78x = 12,196,502.18
  5. Step 5: Solve for x
    x = 12,196,502.18/4,694.78
  6. Step 6: Final answer
    x = 2,597.89

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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.