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Finding the Fourth Proportional to 3,420.92, 4,718.68 and 2,372.78

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Solution

The fourth proportional to 3,420.92, 4,718.68 and 2,372.78 is: 3,272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.92 : 4,718.68 = 2,372.78 : x
  2. Step 2: Convert to fraction form
    3,420.92/4,718.68 = 2,372.78/x
  3. Step 3: Cross multiply
    3,420.92x = 4,718.68 × 2,372.78
  4. Step 4: Simplify right side
    3,420.92x = 11,196,389.53
  5. Step 5: Solve for x
    x = 11,196,389.53/3,420.92
  6. Step 6: Final answer
    x = 3,272.92

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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.