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Finding the Fourth Proportional to 4,700.33, 7,047.76 and 3,142.09

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Solution

The fourth proportional to 4,700.33, 7,047.76 and 3,142.09 is: 4,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.33 : 7,047.76 = 3,142.09 : x
  2. Step 2: Convert to fraction form
    4,700.33/7,047.76 = 3,142.09/x
  3. Step 3: Cross multiply
    4,700.33x = 7,047.76 × 3,142.09
  4. Step 4: Simplify right side
    4,700.33x = 22,144,696.22
  5. Step 5: Solve for x
    x = 22,144,696.22/4,700.33
  6. Step 6: Final answer
    x = 4,711.31

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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.