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Finding the Fourth Proportional to 5,706.76, 8,548.02 and 3,725.39

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Solution

The fourth proportional to 5,706.76, 8,548.02 and 3,725.39 is: 5,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.76 : 8,548.02 = 3,725.39 : x
  2. Step 2: Convert to fraction form
    5,706.76/8,548.02 = 3,725.39/x
  3. Step 3: Cross multiply
    5,706.76x = 8,548.02 × 3,725.39
  4. Step 4: Simplify right side
    5,706.76x = 31,844,674.80
  5. Step 5: Solve for x
    x = 31,844,674.80/5,706.76
  6. Step 6: Final answer
    x = 5,580.17

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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.