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Finding the Fourth Proportional to 3,754.84, 5,185 and 2,340.94

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Solution

The fourth proportional to 3,754.84, 5,185 and 2,340.94 is: 3,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.84 : 5,185 = 2,340.94 : x
  2. Step 2: Convert to fraction form
    3,754.84/5,185 = 2,340.94/x
  3. Step 3: Cross multiply
    3,754.84x = 5,185 × 2,340.94
  4. Step 4: Simplify right side
    3,754.84x = 12,137,773.90
  5. Step 5: Solve for x
    x = 12,137,773.90/3,754.84
  6. Step 6: Final answer
    x = 3,232.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.