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Finding the Fourth Proportional to 5,498.08, 8,239.82 and 4,764.22

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Solution

The fourth proportional to 5,498.08, 8,239.82 and 4,764.22 is: 7,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.08 : 8,239.82 = 4,764.22 : x
  2. Step 2: Convert to fraction form
    5,498.08/8,239.82 = 4,764.22/x
  3. Step 3: Cross multiply
    5,498.08x = 8,239.82 × 4,764.22
  4. Step 4: Simplify right side
    5,498.08x = 39,256,315.24
  5. Step 5: Solve for x
    x = 39,256,315.24/5,498.08
  6. Step 6: Final answer
    x = 7,140.00

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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.