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Finding the Fourth Proportional to 5,831.34, 8,054.94 and 4,321.99

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Solution

The fourth proportional to 5,831.34, 8,054.94 and 4,321.99 is: 5,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.34 : 8,054.94 = 4,321.99 : x
  2. Step 2: Convert to fraction form
    5,831.34/8,054.94 = 4,321.99/x
  3. Step 3: Cross multiply
    5,831.34x = 8,054.94 × 4,321.99
  4. Step 4: Simplify right side
    5,831.34x = 34,813,370.13
  5. Step 5: Solve for x
    x = 34,813,370.13/5,831.34
  6. Step 6: Final answer
    x = 5,970.05

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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.