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Finding the Fourth Proportional to 4,387.77, 6,578.08 and 1,920.71

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Solution

The fourth proportional to 4,387.77, 6,578.08 and 1,920.71 is: 2,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.77 : 6,578.08 = 1,920.71 : x
  2. Step 2: Convert to fraction form
    4,387.77/6,578.08 = 1,920.71/x
  3. Step 3: Cross multiply
    4,387.77x = 6,578.08 × 1,920.71
  4. Step 4: Simplify right side
    4,387.77x = 12,634,595.68
  5. Step 5: Solve for x
    x = 12,634,595.68/4,387.77
  6. Step 6: Final answer
    x = 2,879.50

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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.