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Finding the Fourth Proportional to 4,460.78, 6,155.93 and 2,471.38

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Solution

The fourth proportional to 4,460.78, 6,155.93 and 2,471.38 is: 3,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.78 : 6,155.93 = 2,471.38 : x
  2. Step 2: Convert to fraction form
    4,460.78/6,155.93 = 2,471.38/x
  3. Step 3: Cross multiply
    4,460.78x = 6,155.93 × 2,471.38
  4. Step 4: Simplify right side
    4,460.78x = 15,213,642.28
  5. Step 5: Solve for x
    x = 15,213,642.28/4,460.78
  6. Step 6: Final answer
    x = 3,410.53

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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.