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Finding the Fourth Proportional to 4,992.60, 7,456.47 and 4,694.52

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Solution

The fourth proportional to 4,992.60, 7,456.47 and 4,694.52 is: 7,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.60 : 7,456.47 = 4,694.52 : x
  2. Step 2: Convert to fraction form
    4,992.60/7,456.47 = 4,694.52/x
  3. Step 3: Cross multiply
    4,992.60x = 7,456.47 × 4,694.52
  4. Step 4: Simplify right side
    4,992.60x = 35,004,547.54
  5. Step 5: Solve for x
    x = 35,004,547.54/4,992.60
  6. Step 6: Final answer
    x = 7,011.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.