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Finding the Fourth Proportional to 5,806.67, 8,709.96 and 1,911.08

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Solution

The fourth proportional to 5,806.67, 8,709.96 and 1,911.08 is: 2,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.67 : 8,709.96 = 1,911.08 : x
  2. Step 2: Convert to fraction form
    5,806.67/8,709.96 = 1,911.08/x
  3. Step 3: Cross multiply
    5,806.67x = 8,709.96 × 1,911.08
  4. Step 4: Simplify right side
    5,806.67x = 16,645,386.81
  5. Step 5: Solve for x
    x = 16,645,386.81/5,806.67
  6. Step 6: Final answer
    x = 2,866.60

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Why These Related Problems?

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