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Finding the Fourth Proportional to 4,979.61, 7,454.70 and 4,364.48

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Solution

The fourth proportional to 4,979.61, 7,454.70 and 4,364.48 is: 6,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,979.61 : 7,454.70 = 4,364.48 : x
  2. Step 2: Convert to fraction form
    4,979.61/7,454.70 = 4,364.48/x
  3. Step 3: Cross multiply
    4,979.61x = 7,454.70 × 4,364.48
  4. Step 4: Simplify right side
    4,979.61x = 32,535,907.69
  5. Step 5: Solve for x
    x = 32,535,907.69/4,979.61
  6. Step 6: Final answer
    x = 6,533.83

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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.