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Finding the Fourth Proportional to 5,905.71, 8,846.42 and 4,265.55

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Solution

The fourth proportional to 5,905.71, 8,846.42 and 4,265.55 is: 6,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.71 : 8,846.42 = 4,265.55 : x
  2. Step 2: Convert to fraction form
    5,905.71/8,846.42 = 4,265.55/x
  3. Step 3: Cross multiply
    5,905.71x = 8,846.42 × 4,265.55
  4. Step 4: Simplify right side
    5,905.71x = 37,734,825.50
  5. Step 5: Solve for x
    x = 37,734,825.50/5,905.71
  6. Step 6: Final answer
    x = 6,389.55

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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.