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Finding the Fourth Proportional to 5,725.59, 8,588.39 and 5,419.95

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Solution

The fourth proportional to 5,725.59, 8,588.39 and 5,419.95 is: 8,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.59 : 8,588.39 = 5,419.95 : x
  2. Step 2: Convert to fraction form
    5,725.59/8,588.39 = 5,419.95/x
  3. Step 3: Cross multiply
    5,725.59x = 8,588.39 × 5,419.95
  4. Step 4: Simplify right side
    5,725.59x = 46,548,617.28
  5. Step 5: Solve for x
    x = 46,548,617.28/5,725.59
  6. Step 6: Final answer
    x = 8,129.93

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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.