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Finding the Fourth Proportional to 6,379.64, 8,802.83 and 3,546.93

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Solution

The fourth proportional to 6,379.64, 8,802.83 and 3,546.93 is: 4,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.64 : 8,802.83 = 3,546.93 : x
  2. Step 2: Convert to fraction form
    6,379.64/8,802.83 = 3,546.93/x
  3. Step 3: Cross multiply
    6,379.64x = 8,802.83 × 3,546.93
  4. Step 4: Simplify right side
    6,379.64x = 31,223,030.68
  5. Step 5: Solve for x
    x = 31,223,030.68/6,379.64
  6. Step 6: Final answer
    x = 4,894.17

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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.