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Finding the Fourth Proportional to 4,354.14, 6,006.11 and 4,062.54

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Solution

The fourth proportional to 4,354.14, 6,006.11 and 4,062.54 is: 5,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.14 : 6,006.11 = 4,062.54 : x
  2. Step 2: Convert to fraction form
    4,354.14/6,006.11 = 4,062.54/x
  3. Step 3: Cross multiply
    4,354.14x = 6,006.11 × 4,062.54
  4. Step 4: Simplify right side
    4,354.14x = 24,400,041.81
  5. Step 5: Solve for x
    x = 24,400,041.81/4,354.14
  6. Step 6: Final answer
    x = 5,603.87

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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.