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Finding the Fourth Proportional to 3,494.34, 4,820.70 and 2,960.95

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Solution

The fourth proportional to 3,494.34, 4,820.70 and 2,960.95 is: 4,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.34 : 4,820.70 = 2,960.95 : x
  2. Step 2: Convert to fraction form
    3,494.34/4,820.70 = 2,960.95/x
  3. Step 3: Cross multiply
    3,494.34x = 4,820.70 × 2,960.95
  4. Step 4: Simplify right side
    3,494.34x = 14,273,851.67
  5. Step 5: Solve for x
    x = 14,273,851.67/3,494.34
  6. Step 6: Final answer
    x = 4,084.85

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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.