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Finding the Fourth Proportional to 5,585.92, 8,362.48 and 4,800.42

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Solution

The fourth proportional to 5,585.92, 8,362.48 and 4,800.42 is: 7,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.92 : 8,362.48 = 4,800.42 : x
  2. Step 2: Convert to fraction form
    5,585.92/8,362.48 = 4,800.42/x
  3. Step 3: Cross multiply
    5,585.92x = 8,362.48 × 4,800.42
  4. Step 4: Simplify right side
    5,585.92x = 40,143,416.24
  5. Step 5: Solve for x
    x = 40,143,416.24/5,585.92
  6. Step 6: Final answer
    x = 7,186.54

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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.