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Finding the Fourth Proportional to 5,806.68, 8,710.56 and 1,911.12

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Solution

The fourth proportional to 5,806.68, 8,710.56 and 1,911.12 is: 2,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.68 : 8,710.56 = 1,911.12 : x
  2. Step 2: Convert to fraction form
    5,806.68/8,710.56 = 1,911.12/x
  3. Step 3: Cross multiply
    5,806.68x = 8,710.56 × 1,911.12
  4. Step 4: Simplify right side
    5,806.68x = 16,646,925.43
  5. Step 5: Solve for x
    x = 16,646,925.43/5,806.68
  6. Step 6: Final answer
    x = 2,866.86

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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.