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Finding the Fourth Proportional to 5,894.46, 8,846.94 and 4,429.14

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Solution

The fourth proportional to 5,894.46, 8,846.94 and 4,429.14 is: 6,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.46 : 8,846.94 = 4,429.14 : x
  2. Step 2: Convert to fraction form
    5,894.46/8,846.94 = 4,429.14/x
  3. Step 3: Cross multiply
    5,894.46x = 8,846.94 × 4,429.14
  4. Step 4: Simplify right side
    5,894.46x = 39,184,335.83
  5. Step 5: Solve for x
    x = 39,184,335.83/5,894.46
  6. Step 6: Final answer
    x = 6,647.65

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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.