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Finding the Fourth Proportional to 3,437.64, 5,157.10 and 1,563.66

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Solution

The fourth proportional to 3,437.64, 5,157.10 and 1,563.66 is: 2,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.64 : 5,157.10 = 1,563.66 : x
  2. Step 2: Convert to fraction form
    3,437.64/5,157.10 = 1,563.66/x
  3. Step 3: Cross multiply
    3,437.64x = 5,157.10 × 1,563.66
  4. Step 4: Simplify right side
    3,437.64x = 8,063,969.35
  5. Step 5: Solve for x
    x = 8,063,969.35/3,437.64
  6. Step 6: Final answer
    x = 2,345.79

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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.