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Finding the Fourth Proportional to 5,749.08, 7,941.70 and 4,439.31

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Solution

The fourth proportional to 5,749.08, 7,941.70 and 4,439.31 is: 6,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.08 : 7,941.70 = 4,439.31 : x
  2. Step 2: Convert to fraction form
    5,749.08/7,941.70 = 4,439.31/x
  3. Step 3: Cross multiply
    5,749.08x = 7,941.70 × 4,439.31
  4. Step 4: Simplify right side
    5,749.08x = 35,255,619.02
  5. Step 5: Solve for x
    x = 35,255,619.02/5,749.08
  6. Step 6: Final answer
    x = 6,132.40

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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.