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Finding the Fourth Proportional to 5,295.46, 7,944.07 and 1,831.90

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Solution

The fourth proportional to 5,295.46, 7,944.07 and 1,831.90 is: 2,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.46 : 7,944.07 = 1,831.90 : x
  2. Step 2: Convert to fraction form
    5,295.46/7,944.07 = 1,831.90/x
  3. Step 3: Cross multiply
    5,295.46x = 7,944.07 × 1,831.90
  4. Step 4: Simplify right side
    5,295.46x = 14,552,741.83
  5. Step 5: Solve for x
    x = 14,552,741.83/5,295.46
  6. Step 6: Final answer
    x = 2,748.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.