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Finding the Fourth Proportional to 5,544.96, 8,316 and 1,649.76

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Solution

The fourth proportional to 5,544.96, 8,316 and 1,649.76 is: 2,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,544.96 : 8,316 = 1,649.76 : x
  2. Step 2: Convert to fraction form
    5,544.96/8,316 = 1,649.76/x
  3. Step 3: Cross multiply
    5,544.96x = 8,316 × 1,649.76
  4. Step 4: Simplify right side
    5,544.96x = 13,719,404.16
  5. Step 5: Solve for x
    x = 13,719,404.16/5,544.96
  6. Step 6: Final answer
    x = 2,474.21

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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.