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Finding the Fourth Proportional to 3,215.56, 4,429.39 and 3,215.56

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Solution

The fourth proportional to 3,215.56, 4,429.39 and 3,215.56 is: 4,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.56 : 4,429.39 = 3,215.56 : x
  2. Step 2: Convert to fraction form
    3,215.56/4,429.39 = 3,215.56/x
  3. Step 3: Cross multiply
    3,215.56x = 4,429.39 × 3,215.56
  4. Step 4: Simplify right side
    3,215.56x = 14,242,931.08
  5. Step 5: Solve for x
    x = 14,242,931.08/3,215.56
  6. Step 6: Final answer
    x = 4,429.39

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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.