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Finding the Fourth Proportional to 4,057.10, 6,085.65 and 979.10

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Solution

The fourth proportional to 4,057.10, 6,085.65 and 979.10 is: 1,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.10 : 6,085.65 = 979.10 : x
  2. Step 2: Convert to fraction form
    4,057.10/6,085.65 = 979.10/x
  3. Step 3: Cross multiply
    4,057.10x = 6,085.65 × 979.10
  4. Step 4: Simplify right side
    4,057.10x = 5,958,459.92
  5. Step 5: Solve for x
    x = 5,958,459.92/4,057.10
  6. Step 6: Final answer
    x = 1,468.65

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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.