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Finding the Fourth Proportional to 3,449.99, 5,175.63 and 3,137.00

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Solution

The fourth proportional to 3,449.99, 5,175.63 and 3,137.00 is: 4,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.99 : 5,175.63 = 3,137.00 : x
  2. Step 2: Convert to fraction form
    3,449.99/5,175.63 = 3,137.00/x
  3. Step 3: Cross multiply
    3,449.99x = 5,175.63 × 3,137.00
  4. Step 4: Simplify right side
    3,449.99x = 16,235,925.43
  5. Step 5: Solve for x
    x = 16,235,925.43/3,449.99
  6. Step 6: Final answer
    x = 4,706.08

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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.