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Finding the Fourth Proportional to 8,534.96, 12,798.52 and 3,601.90

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Solution

The fourth proportional to 8,534.96, 12,798.52 and 3,601.90 is: 5,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.96 : 12,798.52 = 3,601.90 : x
  2. Step 2: Convert to fraction form
    8,534.96/12,798.52 = 3,601.90/x
  3. Step 3: Cross multiply
    8,534.96x = 12,798.52 × 3,601.90
  4. Step 4: Simplify right side
    8,534.96x = 46,098,989.19
  5. Step 5: Solve for x
    x = 46,098,989.19/8,534.96
  6. Step 6: Final answer
    x = 5,401.20

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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.