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Finding the Fourth Proportional to 3,677.77, 5,074.19 and 2,084.16

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Solution

The fourth proportional to 3,677.77, 5,074.19 and 2,084.16 is: 2,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.77 : 5,074.19 = 2,084.16 : x
  2. Step 2: Convert to fraction form
    3,677.77/5,074.19 = 2,084.16/x
  3. Step 3: Cross multiply
    3,677.77x = 5,074.19 × 2,084.16
  4. Step 4: Simplify right side
    3,677.77x = 10,575,429.04
  5. Step 5: Solve for x
    x = 10,575,429.04/3,677.77
  6. Step 6: Final answer
    x = 2,875.50

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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.