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Finding the Fourth Proportional to 3,400.58, 4,690.41 and 3,121.74

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Solution

The fourth proportional to 3,400.58, 4,690.41 and 3,121.74 is: 4,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.58 : 4,690.41 = 3,121.74 : x
  2. Step 2: Convert to fraction form
    3,400.58/4,690.41 = 3,121.74/x
  3. Step 3: Cross multiply
    3,400.58x = 4,690.41 × 3,121.74
  4. Step 4: Simplify right side
    3,400.58x = 14,642,228.81
  5. Step 5: Solve for x
    x = 14,642,228.81/3,400.58
  6. Step 6: Final answer
    x = 4,305.80

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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.