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Finding the Fourth Proportional to 3,372.50, 5,058.75 and 1,064

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Solution

The fourth proportional to 3,372.50, 5,058.75 and 1,064 is: 1,596

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,372.50 : 5,058.75 = 1,064 : x
  2. Step 2: Convert to fraction form
    3,372.50/5,058.75 = 1,064/x
  3. Step 3: Cross multiply
    3,372.50x = 5,058.75 × 1,064
  4. Step 4: Simplify right side
    3,372.50x = 5,382,510
  5. Step 5: Solve for x
    x = 5,382,510/3,372.50
  6. Step 6: Final answer
    x = 1,596

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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.