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Finding the Fourth Proportional to 3,383, 5,073.72 and 1,302.32

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Solution

The fourth proportional to 3,383, 5,073.72 and 1,302.32 is: 1,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383 : 5,073.72 = 1,302.32 : x
  2. Step 2: Convert to fraction form
    3,383/5,073.72 = 1,302.32/x
  3. Step 3: Cross multiply
    3,383x = 5,073.72 × 1,302.32
  4. Step 4: Simplify right side
    3,383x = 6,607,607.03
  5. Step 5: Solve for x
    x = 6,607,607.03/3,383
  6. Step 6: Final answer
    x = 1,953.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.