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Finding the Fourth Proportional to 4,648.42, 6,375.49 and 4,123.54

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Solution

The fourth proportional to 4,648.42, 6,375.49 and 4,123.54 is: 5,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.42 : 6,375.49 = 4,123.54 : x
  2. Step 2: Convert to fraction form
    4,648.42/6,375.49 = 4,123.54/x
  3. Step 3: Cross multiply
    4,648.42x = 6,375.49 × 4,123.54
  4. Step 4: Simplify right side
    4,648.42x = 26,289,588.03
  5. Step 5: Solve for x
    x = 26,289,588.03/4,648.42
  6. Step 6: Final answer
    x = 5,655.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.