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Finding the Fourth Proportional to 5,827.55, 8,041.75 and 3,174.86

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Solution

The fourth proportional to 5,827.55, 8,041.75 and 3,174.86 is: 4,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.55 : 8,041.75 = 3,174.86 : x
  2. Step 2: Convert to fraction form
    5,827.55/8,041.75 = 3,174.86/x
  3. Step 3: Cross multiply
    5,827.55x = 8,041.75 × 3,174.86
  4. Step 4: Simplify right side
    5,827.55x = 25,531,442.57
  5. Step 5: Solve for x
    x = 25,531,442.57/5,827.55
  6. Step 6: Final answer
    x = 4,381.17

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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.