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Finding the Fourth Proportional to 5,894.43, 8,846.19 and 4,045.50

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Solution

The fourth proportional to 5,894.43, 8,846.19 and 4,045.50 is: 6,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.43 : 8,846.19 = 4,045.50 : x
  2. Step 2: Convert to fraction form
    5,894.43/8,846.19 = 4,045.50/x
  3. Step 3: Cross multiply
    5,894.43x = 8,846.19 × 4,045.50
  4. Step 4: Simplify right side
    5,894.43x = 35,787,261.65
  5. Step 5: Solve for x
    x = 35,787,261.65/5,894.43
  6. Step 6: Final answer
    x = 6,071.37

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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.