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Finding the Fourth Proportional to 4,673.02, 6,362.38 and 4,658.44

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Solution

The fourth proportional to 4,673.02, 6,362.38 and 4,658.44 is: 6,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.02 : 6,362.38 = 4,658.44 : x
  2. Step 2: Convert to fraction form
    4,673.02/6,362.38 = 4,658.44/x
  3. Step 3: Cross multiply
    4,673.02x = 6,362.38 × 4,658.44
  4. Step 4: Simplify right side
    4,673.02x = 29,638,765.49
  5. Step 5: Solve for x
    x = 29,638,765.49/4,673.02
  6. Step 6: Final answer
    x = 6,342.53

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.