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Finding the Fourth Proportional to 5,811.68, 8,719.35 and 1,918.82

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Solution

The fourth proportional to 5,811.68, 8,719.35 and 1,918.82 is: 2,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.68 : 8,719.35 = 1,918.82 : x
  2. Step 2: Convert to fraction form
    5,811.68/8,719.35 = 1,918.82/x
  3. Step 3: Cross multiply
    5,811.68x = 8,719.35 × 1,918.82
  4. Step 4: Simplify right side
    5,811.68x = 16,730,877.77
  5. Step 5: Solve for x
    x = 16,730,877.77/5,811.68
  6. Step 6: Final answer
    x = 2,878.84

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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.