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Finding the Fourth Proportional to 3,538.66, 4,880.38 and 2,980.44

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Solution

The fourth proportional to 3,538.66, 4,880.38 and 2,980.44 is: 4,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.66 : 4,880.38 = 2,980.44 : x
  2. Step 2: Convert to fraction form
    3,538.66/4,880.38 = 2,980.44/x
  3. Step 3: Cross multiply
    3,538.66x = 4,880.38 × 2,980.44
  4. Step 4: Simplify right side
    3,538.66x = 14,545,679.77
  5. Step 5: Solve for x
    x = 14,545,679.77/3,538.66
  6. Step 6: Final answer
    x = 4,110.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.