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Finding the Fourth Proportional to 5,235.50, 7,854.87 and 1,725.54

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Solution

The fourth proportional to 5,235.50, 7,854.87 and 1,725.54 is: 2,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.50 : 7,854.87 = 1,725.54 : x
  2. Step 2: Convert to fraction form
    5,235.50/7,854.87 = 1,725.54/x
  3. Step 3: Cross multiply
    5,235.50x = 7,854.87 × 1,725.54
  4. Step 4: Simplify right side
    5,235.50x = 13,553,869.39
  5. Step 5: Solve for x
    x = 13,553,869.39/5,235.50
  6. Step 6: Final answer
    x = 2,588.84

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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.