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Finding the Fourth Proportional to 5,210.46, 7,190.19 and 2,852.61

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Solution

The fourth proportional to 5,210.46, 7,190.19 and 2,852.61 is: 3,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.46 : 7,190.19 = 2,852.61 : x
  2. Step 2: Convert to fraction form
    5,210.46/7,190.19 = 2,852.61/x
  3. Step 3: Cross multiply
    5,210.46x = 7,190.19 × 2,852.61
  4. Step 4: Simplify right side
    5,210.46x = 20,510,807.90
  5. Step 5: Solve for x
    x = 20,510,807.90/5,210.46
  6. Step 6: Final answer
    x = 3,936.47

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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.