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Finding the Fourth Proportional to 4,586.16, 6,325.68 and 2,815.44

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Solution

The fourth proportional to 4,586.16, 6,325.68 and 2,815.44 is: 3,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.16 : 6,325.68 = 2,815.44 : x
  2. Step 2: Convert to fraction form
    4,586.16/6,325.68 = 2,815.44/x
  3. Step 3: Cross multiply
    4,586.16x = 6,325.68 × 2,815.44
  4. Step 4: Simplify right side
    4,586.16x = 17,809,572.50
  5. Step 5: Solve for x
    x = 17,809,572.50/4,586.16
  6. Step 6: Final answer
    x = 3,883.33

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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.