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Finding the Fourth Proportional to 3,777.16, 5,663.50 and 1,437.34

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Solution

The fourth proportional to 3,777.16, 5,663.50 and 1,437.34 is: 2,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.16 : 5,663.50 = 1,437.34 : x
  2. Step 2: Convert to fraction form
    3,777.16/5,663.50 = 1,437.34/x
  3. Step 3: Cross multiply
    3,777.16x = 5,663.50 × 1,437.34
  4. Step 4: Simplify right side
    3,777.16x = 8,140,375.09
  5. Step 5: Solve for x
    x = 8,140,375.09/3,777.16
  6. Step 6: Final answer
    x = 2,155.16

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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.