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Finding the Fourth Proportional to 4,731.03, 7,085.60 and 4,567

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Solution

The fourth proportional to 4,731.03, 7,085.60 and 4,567 is: 6,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.03 : 7,085.60 = 4,567 : x
  2. Step 2: Convert to fraction form
    4,731.03/7,085.60 = 4,567/x
  3. Step 3: Cross multiply
    4,731.03x = 7,085.60 × 4,567
  4. Step 4: Simplify right side
    4,731.03x = 32,359,912.37
  5. Step 5: Solve for x
    x = 32,359,912.37/4,731.03
  6. Step 6: Final answer
    x = 6,839.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.