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Finding the Fourth Proportional to 5,294.22, 7,289.38 and 4,495.86

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Solution

The fourth proportional to 5,294.22, 7,289.38 and 4,495.86 is: 6,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.22 : 7,289.38 = 4,495.86 : x
  2. Step 2: Convert to fraction form
    5,294.22/7,289.38 = 4,495.86/x
  3. Step 3: Cross multiply
    5,294.22x = 7,289.38 × 4,495.86
  4. Step 4: Simplify right side
    5,294.22x = 32,772,031.97
  5. Step 5: Solve for x
    x = 32,772,031.97/5,294.22
  6. Step 6: Final answer
    x = 6,190.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.