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Finding the Fourth Proportional to 5,009.86, 7,513.99 and 1,678.08

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Solution

The fourth proportional to 5,009.86, 7,513.99 and 1,678.08 is: 2,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.86 : 7,513.99 = 1,678.08 : x
  2. Step 2: Convert to fraction form
    5,009.86/7,513.99 = 1,678.08/x
  3. Step 3: Cross multiply
    5,009.86x = 7,513.99 × 1,678.08
  4. Step 4: Simplify right side
    5,009.86x = 12,609,076.34
  5. Step 5: Solve for x
    x = 12,609,076.34/5,009.86
  6. Step 6: Final answer
    x = 2,516.85

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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.