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Finding the Fourth Proportional to 4,678.16, 6,999.62 and 4,427.87

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Solution

The fourth proportional to 4,678.16, 6,999.62 and 4,427.87 is: 6,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.16 : 6,999.62 = 4,427.87 : x
  2. Step 2: Convert to fraction form
    4,678.16/6,999.62 = 4,427.87/x
  3. Step 3: Cross multiply
    4,678.16x = 6,999.62 × 4,427.87
  4. Step 4: Simplify right side
    4,678.16x = 30,993,350.27
  5. Step 5: Solve for x
    x = 30,993,350.27/4,678.16
  6. Step 6: Final answer
    x = 6,625.12

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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.