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Finding the Fourth Proportional to 5,838.96, 8,757.50 and 1,678.03

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Solution

The fourth proportional to 5,838.96, 8,757.50 and 1,678.03 is: 2,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.96 : 8,757.50 = 1,678.03 : x
  2. Step 2: Convert to fraction form
    5,838.96/8,757.50 = 1,678.03/x
  3. Step 3: Cross multiply
    5,838.96x = 8,757.50 × 1,678.03
  4. Step 4: Simplify right side
    5,838.96x = 14,695,303.94
  5. Step 5: Solve for x
    x = 14,695,303.94/5,838.96
  6. Step 6: Final answer
    x = 2,516.77

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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.