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Finding the Fourth Proportional to 5,827.52, 8,041.91 and 3,174.92

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Solution

The fourth proportional to 5,827.52, 8,041.91 and 3,174.92 is: 4,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.52 : 8,041.91 = 3,174.92 : x
  2. Step 2: Convert to fraction form
    5,827.52/8,041.91 = 3,174.92/x
  3. Step 3: Cross multiply
    5,827.52x = 8,041.91 × 3,174.92
  4. Step 4: Simplify right side
    5,827.52x = 25,532,364.81
  5. Step 5: Solve for x
    x = 25,532,364.81/5,827.52
  6. Step 6: Final answer
    x = 4,381.35

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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.