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Finding the Fourth Proportional to 4,696.10, 7,029.79 and 4,031.80

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Solution

The fourth proportional to 4,696.10, 7,029.79 and 4,031.80 is: 6,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.10 : 7,029.79 = 4,031.80 : x
  2. Step 2: Convert to fraction form
    4,696.10/7,029.79 = 4,031.80/x
  3. Step 3: Cross multiply
    4,696.10x = 7,029.79 × 4,031.80
  4. Step 4: Simplify right side
    4,696.10x = 28,342,679.67
  5. Step 5: Solve for x
    x = 28,342,679.67/4,696.10
  6. Step 6: Final answer
    x = 6,035.37

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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.