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Finding the Fourth Proportional to 5,817.25, 8,725.75 and 1,434.74

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Solution

The fourth proportional to 5,817.25, 8,725.75 and 1,434.74 is: 2,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.25 : 8,725.75 = 1,434.74 : x
  2. Step 2: Convert to fraction form
    5,817.25/8,725.75 = 1,434.74/x
  3. Step 3: Cross multiply
    5,817.25x = 8,725.75 × 1,434.74
  4. Step 4: Simplify right side
    5,817.25x = 12,519,200.78
  5. Step 5: Solve for x
    x = 12,519,200.78/5,817.25
  6. Step 6: Final answer
    x = 2,152.08

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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.