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Finding the Fourth Proportional to 5,897.77, 8,138.92 and 3,245.12

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Solution

The fourth proportional to 5,897.77, 8,138.92 and 3,245.12 is: 4,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.77 : 8,138.92 = 3,245.12 : x
  2. Step 2: Convert to fraction form
    5,897.77/8,138.92 = 3,245.12/x
  3. Step 3: Cross multiply
    5,897.77x = 8,138.92 × 3,245.12
  4. Step 4: Simplify right side
    5,897.77x = 26,411,792.42
  5. Step 5: Solve for x
    x = 26,411,792.42/5,897.77
  6. Step 6: Final answer
    x = 4,478.27

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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.