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Finding the Fourth Proportional to 3,446.58, 4,756.38 and 2,121.06

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Solution

The fourth proportional to 3,446.58, 4,756.38 and 2,121.06 is: 2,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.58 : 4,756.38 = 2,121.06 : x
  2. Step 2: Convert to fraction form
    3,446.58/4,756.38 = 2,121.06/x
  3. Step 3: Cross multiply
    3,446.58x = 4,756.38 × 2,121.06
  4. Step 4: Simplify right side
    3,446.58x = 10,088,567.36
  5. Step 5: Solve for x
    x = 10,088,567.36/3,446.58
  6. Step 6: Final answer
    x = 2,927.12

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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.