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Finding the Fourth Proportional to 6,223.24, 8,580.90 and 4,648.60

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Solution

The fourth proportional to 6,223.24, 8,580.90 and 4,648.60 is: 6,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.24 : 8,580.90 = 4,648.60 : x
  2. Step 2: Convert to fraction form
    6,223.24/8,580.90 = 4,648.60/x
  3. Step 3: Cross multiply
    6,223.24x = 8,580.90 × 4,648.60
  4. Step 4: Simplify right side
    6,223.24x = 39,889,171.74
  5. Step 5: Solve for x
    x = 39,889,171.74/6,223.24
  6. Step 6: Final answer
    x = 6,409.71

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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.