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Finding the Fourth Proportional to 4,404.91, 6,078.98 and 2,415.42

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Solution

The fourth proportional to 4,404.91, 6,078.98 and 2,415.42 is: 3,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,404.91 : 6,078.98 = 2,415.42 : x
  2. Step 2: Convert to fraction form
    4,404.91/6,078.98 = 2,415.42/x
  3. Step 3: Cross multiply
    4,404.91x = 6,078.98 × 2,415.42
  4. Step 4: Simplify right side
    4,404.91x = 14,683,289.87
  5. Step 5: Solve for x
    x = 14,683,289.87/4,404.91
  6. Step 6: Final answer
    x = 3,333.39

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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.