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Finding the Fourth Proportional to 5,364.24, 8,039.52 and 4,668

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Solution

The fourth proportional to 5,364.24, 8,039.52 and 4,668 is: 6,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.24 : 8,039.52 = 4,668 : x
  2. Step 2: Convert to fraction form
    5,364.24/8,039.52 = 4,668/x
  3. Step 3: Cross multiply
    5,364.24x = 8,039.52 × 4,668
  4. Step 4: Simplify right side
    5,364.24x = 37,528,479.36
  5. Step 5: Solve for x
    x = 37,528,479.36/5,364.24
  6. Step 6: Final answer
    x = 6,996.05

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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.