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Finding the Fourth Proportional to 3,678.02, 5,074.54 and 2,084.41

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Solution

The fourth proportional to 3,678.02, 5,074.54 and 2,084.41 is: 2,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.02 : 5,074.54 = 2,084.41 : x
  2. Step 2: Convert to fraction form
    3,678.02/5,074.54 = 2,084.41/x
  3. Step 3: Cross multiply
    3,678.02x = 5,074.54 × 2,084.41
  4. Step 4: Simplify right side
    3,678.02x = 10,577,421.92
  5. Step 5: Solve for x
    x = 10,577,421.92/3,678.02
  6. Step 6: Final answer
    x = 2,875.85

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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.