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Finding the Fourth Proportional to 4,806.44, 7,175.89 and 4,113.32

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Solution

The fourth proportional to 4,806.44, 7,175.89 and 4,113.32 is: 6,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.44 : 7,175.89 = 4,113.32 : x
  2. Step 2: Convert to fraction form
    4,806.44/7,175.89 = 4,113.32/x
  3. Step 3: Cross multiply
    4,806.44x = 7,175.89 × 4,113.32
  4. Step 4: Simplify right side
    4,806.44x = 29,516,731.85
  5. Step 5: Solve for x
    x = 29,516,731.85/4,806.44
  6. Step 6: Final answer
    x = 6,141.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.