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Finding the Fourth Proportional to 5,585.48, 8,383.34 and 5,564.56

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Solution

The fourth proportional to 5,585.48, 8,383.34 and 5,564.56 is: 8,351.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.48 : 8,383.34 = 5,564.56 : x
  2. Step 2: Convert to fraction form
    5,585.48/8,383.34 = 5,564.56/x
  3. Step 3: Cross multiply
    5,585.48x = 8,383.34 × 5,564.56
  4. Step 4: Simplify right side
    5,585.48x = 46,649,598.43
  5. Step 5: Solve for x
    x = 46,649,598.43/5,585.48
  6. Step 6: Final answer
    x = 8,351.94

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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.