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Finding the Fourth Proportional to 4,895.89, 7,342.68 and 3,138.32

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Solution

The fourth proportional to 4,895.89, 7,342.68 and 3,138.32 is: 4,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.89 : 7,342.68 = 3,138.32 : x
  2. Step 2: Convert to fraction form
    4,895.89/7,342.68 = 3,138.32/x
  3. Step 3: Cross multiply
    4,895.89x = 7,342.68 × 3,138.32
  4. Step 4: Simplify right side
    4,895.89x = 23,043,679.50
  5. Step 5: Solve for x
    x = 23,043,679.50/4,895.89
  6. Step 6: Final answer
    x = 4,706.74

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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.