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Finding the Fourth Proportional to 4,880.24, 7,307.70 and 4,098.44

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Solution

The fourth proportional to 4,880.24, 7,307.70 and 4,098.44 is: 6,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.24 : 7,307.70 = 4,098.44 : x
  2. Step 2: Convert to fraction form
    4,880.24/7,307.70 = 4,098.44/x
  3. Step 3: Cross multiply
    4,880.24x = 7,307.70 × 4,098.44
  4. Step 4: Simplify right side
    4,880.24x = 29,950,169.99
  5. Step 5: Solve for x
    x = 29,950,169.99/4,880.24
  6. Step 6: Final answer
    x = 6,137.03

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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.