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Finding the Fourth Proportional to 6,482.07, 8,945.28 and 3,830.81

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Solution

The fourth proportional to 6,482.07, 8,945.28 and 3,830.81 is: 5,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.07 : 8,945.28 = 3,830.81 : x
  2. Step 2: Convert to fraction form
    6,482.07/8,945.28 = 3,830.81/x
  3. Step 3: Cross multiply
    6,482.07x = 8,945.28 × 3,830.81
  4. Step 4: Simplify right side
    6,482.07x = 34,267,623.35
  5. Step 5: Solve for x
    x = 34,267,623.35/6,482.07
  6. Step 6: Final answer
    x = 5,286.52

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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.