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Finding the Fourth Proportional to 3,684.19, 5,527.14 and 1,051.72

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Solution

The fourth proportional to 3,684.19, 5,527.14 and 1,051.72 is: 1,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.19 : 5,527.14 = 1,051.72 : x
  2. Step 2: Convert to fraction form
    3,684.19/5,527.14 = 1,051.72/x
  3. Step 3: Cross multiply
    3,684.19x = 5,527.14 × 1,051.72
  4. Step 4: Simplify right side
    3,684.19x = 5,813,003.68
  5. Step 5: Solve for x
    x = 5,813,003.68/3,684.19
  6. Step 6: Final answer
    x = 1,577.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.