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Finding the Fourth Proportional to 4,649.57, 6,974.35 and 2,919.41

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Solution

The fourth proportional to 4,649.57, 6,974.35 and 2,919.41 is: 4,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.57 : 6,974.35 = 2,919.41 : x
  2. Step 2: Convert to fraction form
    4,649.57/6,974.35 = 2,919.41/x
  3. Step 3: Cross multiply
    4,649.57x = 6,974.35 × 2,919.41
  4. Step 4: Simplify right side
    4,649.57x = 20,360,987.13
  5. Step 5: Solve for x
    x = 20,360,987.13/4,649.57
  6. Step 6: Final answer
    x = 4,379.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.