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Finding the Fourth Proportional to 5,970.34, 8,895.52 and 5,635

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Solution

The fourth proportional to 5,970.34, 8,895.52 and 5,635 is: 8,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.34 : 8,895.52 = 5,635 : x
  2. Step 2: Convert to fraction form
    5,970.34/8,895.52 = 5,635/x
  3. Step 3: Cross multiply
    5,970.34x = 8,895.52 × 5,635
  4. Step 4: Simplify right side
    5,970.34x = 50,126,255.20
  5. Step 5: Solve for x
    x = 50,126,255.20/5,970.34
  6. Step 6: Final answer
    x = 8,395.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.