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Finding the Fourth Proportional to 3,814.08, 5,258.72 and 3,068.08

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Solution

The fourth proportional to 3,814.08, 5,258.72 and 3,068.08 is: 4,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.08 : 5,258.72 = 3,068.08 : x
  2. Step 2: Convert to fraction form
    3,814.08/5,258.72 = 3,068.08/x
  3. Step 3: Cross multiply
    3,814.08x = 5,258.72 × 3,068.08
  4. Step 4: Simplify right side
    3,814.08x = 16,134,173.66
  5. Step 5: Solve for x
    x = 16,134,173.66/3,814.08
  6. Step 6: Final answer
    x = 4,230.16

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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.