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Finding the Fourth Proportional to 3,907.54, 5,861.15 and 1,566.84

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Solution

The fourth proportional to 3,907.54, 5,861.15 and 1,566.84 is: 2,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.54 : 5,861.15 = 1,566.84 : x
  2. Step 2: Convert to fraction form
    3,907.54/5,861.15 = 1,566.84/x
  3. Step 3: Cross multiply
    3,907.54x = 5,861.15 × 1,566.84
  4. Step 4: Simplify right side
    3,907.54x = 9,183,484.27
  5. Step 5: Solve for x
    x = 9,183,484.27/3,907.54
  6. Step 6: Final answer
    x = 2,350.20

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1.5x scale

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.