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Finding the Fourth Proportional to 4,904.66, 7,357 and 1,982.97

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Solution

The fourth proportional to 4,904.66, 7,357 and 1,982.97 is: 2,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.66 : 7,357 = 1,982.97 : x
  2. Step 2: Convert to fraction form
    4,904.66/7,357 = 1,982.97/x
  3. Step 3: Cross multiply
    4,904.66x = 7,357 × 1,982.97
  4. Step 4: Simplify right side
    4,904.66x = 14,588,710.29
  5. Step 5: Solve for x
    x = 14,588,710.29/4,904.66
  6. Step 6: Final answer
    x = 2,974.46

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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.