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Finding the Fourth Proportional to 5,354.96, 8,033.22 and 1,657.49

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Solution

The fourth proportional to 5,354.96, 8,033.22 and 1,657.49 is: 2,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.96 : 8,033.22 = 1,657.49 : x
  2. Step 2: Convert to fraction form
    5,354.96/8,033.22 = 1,657.49/x
  3. Step 3: Cross multiply
    5,354.96x = 8,033.22 × 1,657.49
  4. Step 4: Simplify right side
    5,354.96x = 13,314,941.65
  5. Step 5: Solve for x
    x = 13,314,941.65/5,354.96
  6. Step 6: Final answer
    x = 2,486.47

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1.5x scale

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.