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Finding the Fourth Proportional to 5,373.84, 7,416.90 and 3,383.04

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Solution

The fourth proportional to 5,373.84, 7,416.90 and 3,383.04 is: 4,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373.84 : 7,416.90 = 3,383.04 : x
  2. Step 2: Convert to fraction form
    5,373.84/7,416.90 = 3,383.04/x
  3. Step 3: Cross multiply
    5,373.84x = 7,416.90 × 3,383.04
  4. Step 4: Simplify right side
    5,373.84x = 25,091,669.38
  5. Step 5: Solve for x
    x = 25,091,669.38/5,373.84
  6. Step 6: Final answer
    x = 4,669.23

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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.