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Finding the Fourth Proportional to 5,859.24, 8,729.69 and 5,580.60

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Solution

The fourth proportional to 5,859.24, 8,729.69 and 5,580.60 is: 8,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.24 : 8,729.69 = 5,580.60 : x
  2. Step 2: Convert to fraction form
    5,859.24/8,729.69 = 5,580.60/x
  3. Step 3: Cross multiply
    5,859.24x = 8,729.69 × 5,580.60
  4. Step 4: Simplify right side
    5,859.24x = 48,716,880.11
  5. Step 5: Solve for x
    x = 48,716,880.11/5,859.24
  6. Step 6: Final answer
    x = 8,314.54

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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.