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Finding the Fourth Proportional to 5,827.42, 8,041.71 and 3,174.94

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Solution

The fourth proportional to 5,827.42, 8,041.71 and 3,174.94 is: 4,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.42 : 8,041.71 = 3,174.94 : x
  2. Step 2: Convert to fraction form
    5,827.42/8,041.71 = 3,174.94/x
  3. Step 3: Cross multiply
    5,827.42x = 8,041.71 × 3,174.94
  4. Step 4: Simplify right side
    5,827.42x = 25,531,946.75
  5. Step 5: Solve for x
    x = 25,531,946.75/5,827.42
  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.