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Finding the Fourth Proportional to 4,909.42, 6,774.21 and 2,919.91

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Solution

The fourth proportional to 4,909.42, 6,774.21 and 2,919.91 is: 4,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.42 : 6,774.21 = 2,919.91 : x
  2. Step 2: Convert to fraction form
    4,909.42/6,774.21 = 2,919.91/x
  3. Step 3: Cross multiply
    4,909.42x = 6,774.21 × 2,919.91
  4. Step 4: Simplify right side
    4,909.42x = 19,780,083.52
  5. Step 5: Solve for x
    x = 19,780,083.52/4,909.42
  6. Step 6: Final answer
    x = 4,029.01

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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.