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Finding the Fourth Proportional to 5,362.64, 8,044.26 and 1,466.96

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Solution

The fourth proportional to 5,362.64, 8,044.26 and 1,466.96 is: 2,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.64 : 8,044.26 = 1,466.96 : x
  2. Step 2: Convert to fraction form
    5,362.64/8,044.26 = 1,466.96/x
  3. Step 3: Cross multiply
    5,362.64x = 8,044.26 × 1,466.96
  4. Step 4: Simplify right side
    5,362.64x = 11,800,607.65
  5. Step 5: Solve for x
    x = 11,800,607.65/5,362.64
  6. Step 6: Final answer
    x = 2,200.52

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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.