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Finding the Fourth Proportional to 5,392.96, 7,442.12 and 3,002.94

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Solution

The fourth proportional to 5,392.96, 7,442.12 and 3,002.94 is: 4,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.96 : 7,442.12 = 3,002.94 : x
  2. Step 2: Convert to fraction form
    5,392.96/7,442.12 = 3,002.94/x
  3. Step 3: Cross multiply
    5,392.96x = 7,442.12 × 3,002.94
  4. Step 4: Simplify right side
    5,392.96x = 22,348,237.38
  5. Step 5: Solve for x
    x = 22,348,237.38/5,392.96
  6. Step 6: Final answer
    x = 4,143.96

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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.