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Finding the Fourth Proportional to 3,316.78, 4,577.38 and 1,919.53

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Solution

The fourth proportional to 3,316.78, 4,577.38 and 1,919.53 is: 2,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.78 : 4,577.38 = 1,919.53 : x
  2. Step 2: Convert to fraction form
    3,316.78/4,577.38 = 1,919.53/x
  3. Step 3: Cross multiply
    3,316.78x = 4,577.38 × 1,919.53
  4. Step 4: Simplify right side
    3,316.78x = 8,786,419.15
  5. Step 5: Solve for x
    x = 8,786,419.15/3,316.78
  6. Step 6: Final answer
    x = 2,649.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.