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Finding the Fourth Proportional to 5,226.85, 7,831.14 and 4,354.95

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Solution

The fourth proportional to 5,226.85, 7,831.14 and 4,354.95 is: 6,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.85 : 7,831.14 = 4,354.95 : x
  2. Step 2: Convert to fraction form
    5,226.85/7,831.14 = 4,354.95/x
  3. Step 3: Cross multiply
    5,226.85x = 7,831.14 × 4,354.95
  4. Step 4: Simplify right side
    5,226.85x = 34,104,242.72
  5. Step 5: Solve for x
    x = 34,104,242.72/5,226.85
  6. Step 6: Final answer
    x = 6,524.82

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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.