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Finding the Fourth Proportional to 4,189.57, 6,284.50 and 1,557.77

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Solution

The fourth proportional to 4,189.57, 6,284.50 and 1,557.77 is: 2,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.57 : 6,284.50 = 1,557.77 : x
  2. Step 2: Convert to fraction form
    4,189.57/6,284.50 = 1,557.77/x
  3. Step 3: Cross multiply
    4,189.57x = 6,284.50 × 1,557.77
  4. Step 4: Simplify right side
    4,189.57x = 9,789,770.25
  5. Step 5: Solve for x
    x = 9,789,770.25/4,189.57
  6. Step 6: Final answer
    x = 2,336.70

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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.