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Finding the Fourth Proportional to 3,838.34, 5,756.10 and 1,372.50

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Solution

The fourth proportional to 3,838.34, 5,756.10 and 1,372.50 is: 2,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.34 : 5,756.10 = 1,372.50 : x
  2. Step 2: Convert to fraction form
    3,838.34/5,756.10 = 1,372.50/x
  3. Step 3: Cross multiply
    3,838.34x = 5,756.10 × 1,372.50
  4. Step 4: Simplify right side
    3,838.34x = 7,900,247.25
  5. Step 5: Solve for x
    x = 7,900,247.25/3,838.34
  6. Step 6: Final answer
    x = 2,058.25

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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.