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Finding the Fourth Proportional to 4,735.34, 7,105.05 and 2,541.50

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Solution

The fourth proportional to 4,735.34, 7,105.05 and 2,541.50 is: 3,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.34 : 7,105.05 = 2,541.50 : x
  2. Step 2: Convert to fraction form
    4,735.34/7,105.05 = 2,541.50/x
  3. Step 3: Cross multiply
    4,735.34x = 7,105.05 × 2,541.50
  4. Step 4: Simplify right side
    4,735.34x = 18,057,508.69
  5. Step 5: Solve for x
    x = 18,057,508.69/4,735.34
  6. Step 6: Final answer
    x = 3,813.35

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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.