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Finding the Fourth Proportional to 5,827.55, 8,042.08 and 3,174.96

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Solution

The fourth proportional to 5,827.55, 8,042.08 and 3,174.96 is: 4,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.55 : 8,042.08 = 3,174.96 : x
  2. Step 2: Convert to fraction form
    5,827.55/8,042.08 = 3,174.96/x
  3. Step 3: Cross multiply
    5,827.55x = 8,042.08 × 3,174.96
  4. Step 4: Simplify right side
    5,827.55x = 25,533,226.23
  5. Step 5: Solve for x
    x = 25,533,226.23/5,827.55
  6. Step 6: Final answer
    x = 4,381.47

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1.5x scale

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.