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Finding the Fourth Proportional to 5,635.50, 8,453.61 and 1,531.50

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Solution

The fourth proportional to 5,635.50, 8,453.61 and 1,531.50 is: 2,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.50 : 8,453.61 = 1,531.50 : x
  2. Step 2: Convert to fraction form
    5,635.50/8,453.61 = 1,531.50/x
  3. Step 3: Cross multiply
    5,635.50x = 8,453.61 × 1,531.50
  4. Step 4: Simplify right side
    5,635.50x = 12,946,703.72
  5. Step 5: Solve for x
    x = 12,946,703.72/5,635.50
  6. Step 6: Final answer
    x = 2,297.35

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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.