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Finding the Fourth Proportional to 3,429.94, 4,733.70 and 1,937.95

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Solution

The fourth proportional to 3,429.94, 4,733.70 and 1,937.95 is: 2,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.94 : 4,733.70 = 1,937.95 : x
  2. Step 2: Convert to fraction form
    3,429.94/4,733.70 = 1,937.95/x
  3. Step 3: Cross multiply
    3,429.94x = 4,733.70 × 1,937.95
  4. Step 4: Simplify right side
    3,429.94x = 9,173,664.23
  5. Step 5: Solve for x
    x = 9,173,664.23/3,429.94
  6. Step 6: Final answer
    x = 2,674.59

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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.