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Finding the Fourth Proportional to 3,053.17, 4,579.49 and 973.09

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Solution

The fourth proportional to 3,053.17, 4,579.49 and 973.09 is: 1,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.17 : 4,579.49 = 973.09 : x
  2. Step 2: Convert to fraction form
    3,053.17/4,579.49 = 973.09/x
  3. Step 3: Cross multiply
    3,053.17x = 4,579.49 × 973.09
  4. Step 4: Simplify right side
    3,053.17x = 4,456,246.91
  5. Step 5: Solve for x
    x = 4,456,246.91/3,053.17
  6. Step 6: Final answer
    x = 1,459.55

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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.