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Finding the Fourth Proportional to 4,831.61, 6,652.80 and 4,230.66

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Solution

The fourth proportional to 4,831.61, 6,652.80 and 4,230.66 is: 5,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.61 : 6,652.80 = 4,230.66 : x
  2. Step 2: Convert to fraction form
    4,831.61/6,652.80 = 4,230.66/x
  3. Step 3: Cross multiply
    4,831.61x = 6,652.80 × 4,230.66
  4. Step 4: Simplify right side
    4,831.61x = 28,145,734.85
  5. Step 5: Solve for x
    x = 28,145,734.85/4,831.61
  6. Step 6: Final answer
    x = 5,825.33

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