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Finding the Fourth Proportional to 5,762.32, 7,951.29 and 3,404

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Solution

The fourth proportional to 5,762.32, 7,951.29 and 3,404 is: 4,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.32 : 7,951.29 = 3,404 : x
  2. Step 2: Convert to fraction form
    5,762.32/7,951.29 = 3,404/x
  3. Step 3: Cross multiply
    5,762.32x = 7,951.29 × 3,404
  4. Step 4: Simplify right side
    5,762.32x = 27,066,191.16
  5. Step 5: Solve for x
    x = 27,066,191.16/5,762.32
  6. Step 6: Final answer
    x = 4,697.10

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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.