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Finding the Fourth Proportional to 3,527.96, 5,288.49 and 1,678.57

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Solution

The fourth proportional to 3,527.96, 5,288.49 and 1,678.57 is: 2,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.96 : 5,288.49 = 1,678.57 : x
  2. Step 2: Convert to fraction form
    3,527.96/5,288.49 = 1,678.57/x
  3. Step 3: Cross multiply
    3,527.96x = 5,288.49 × 1,678.57
  4. Step 4: Simplify right side
    3,527.96x = 8,877,117.19
  5. Step 5: Solve for x
    x = 8,877,117.19/3,527.96
  6. Step 6: Final answer
    x = 2,516.22

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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.