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Finding the Fourth Proportional to 3,196.74, 4,411.19 and 2,357.90

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Solution

The fourth proportional to 3,196.74, 4,411.19 and 2,357.90 is: 3,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.74 : 4,411.19 = 2,357.90 : x
  2. Step 2: Convert to fraction form
    3,196.74/4,411.19 = 2,357.90/x
  3. Step 3: Cross multiply
    3,196.74x = 4,411.19 × 2,357.90
  4. Step 4: Simplify right side
    3,196.74x = 10,401,111.06
  5. Step 5: Solve for x
    x = 10,401,111.06/3,196.74
  6. Step 6: Final answer
    x = 3,253.66

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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.