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Finding the Fourth Proportional to 4,687.36, 6,455.04 and 4,672

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Solution

The fourth proportional to 4,687.36, 6,455.04 and 4,672 is: 6,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.36 : 6,455.04 = 4,672 : x
  2. Step 2: Convert to fraction form
    4,687.36/6,455.04 = 4,672/x
  3. Step 3: Cross multiply
    4,687.36x = 6,455.04 × 4,672
  4. Step 4: Simplify right side
    4,687.36x = 30,157,946.88
  5. Step 5: Solve for x
    x = 30,157,946.88/4,687.36
  6. Step 6: Final answer
    x = 6,433.89

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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.