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Finding the Fourth Proportional to 3,674.57, 5,070.20 and 2,182.14

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Solution

The fourth proportional to 3,674.57, 5,070.20 and 2,182.14 is: 3,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.57 : 5,070.20 = 2,182.14 : x
  2. Step 2: Convert to fraction form
    3,674.57/5,070.20 = 2,182.14/x
  3. Step 3: Cross multiply
    3,674.57x = 5,070.20 × 2,182.14
  4. Step 4: Simplify right side
    3,674.57x = 11,063,875.32
  5. Step 5: Solve for x
    x = 11,063,875.32/3,674.57
  6. Step 6: Final answer
    x = 3,010.93

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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.