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Finding the Fourth Proportional to 4,909.69, 6,775.32 and 2,920.20

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Solution

The fourth proportional to 4,909.69, 6,775.32 and 2,920.20 is: 4,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.69 : 6,775.32 = 2,920.20 : x
  2. Step 2: Convert to fraction form
    4,909.69/6,775.32 = 2,920.20/x
  3. Step 3: Cross multiply
    4,909.69x = 6,775.32 × 2,920.20
  4. Step 4: Simplify right side
    4,909.69x = 19,785,274.86
  5. Step 5: Solve for x
    x = 19,785,274.86/4,909.69
  6. Step 6: Final answer
    x = 4,029.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.