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Finding the Fourth Proportional to 5,294.34, 7,902.30 and 4,671.66

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Solution

The fourth proportional to 5,294.34, 7,902.30 and 4,671.66 is: 6,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.34 : 7,902.30 = 4,671.66 : x
  2. Step 2: Convert to fraction form
    5,294.34/7,902.30 = 4,671.66/x
  3. Step 3: Cross multiply
    5,294.34x = 7,902.30 × 4,671.66
  4. Step 4: Simplify right side
    5,294.34x = 36,916,858.82
  5. Step 5: Solve for x
    x = 36,916,858.82/5,294.34
  6. Step 6: Final answer
    x = 6,972.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.