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Finding the Fourth Proportional to 3,576.74, 5,364.53 and 979.07

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Solution

The fourth proportional to 3,576.74, 5,364.53 and 979.07 is: 1,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.74 : 5,364.53 = 979.07 : x
  2. Step 2: Convert to fraction form
    3,576.74/5,364.53 = 979.07/x
  3. Step 3: Cross multiply
    3,576.74x = 5,364.53 × 979.07
  4. Step 4: Simplify right side
    3,576.74x = 5,252,218.67
  5. Step 5: Solve for x
    x = 5,252,218.67/3,576.74
  6. Step 6: Final answer
    x = 1,468.44

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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.