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Finding the Fourth Proportional to 3,513.74, 5,270.10 and 1,048.46

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Solution

The fourth proportional to 3,513.74, 5,270.10 and 1,048.46 is: 1,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.74 : 5,270.10 = 1,048.46 : x
  2. Step 2: Convert to fraction form
    3,513.74/5,270.10 = 1,048.46/x
  3. Step 3: Cross multiply
    3,513.74x = 5,270.10 × 1,048.46
  4. Step 4: Simplify right side
    3,513.74x = 5,525,489.05
  5. Step 5: Solve for x
    x = 5,525,489.05/3,513.74
  6. Step 6: Final answer
    x = 1,572.54

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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.