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Finding the Fourth Proportional to 5,827.16, 8,042.90 and 3,702.04

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Solution

The fourth proportional to 5,827.16, 8,042.90 and 3,702.04 is: 5,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.16 : 8,042.90 = 3,702.04 : x
  2. Step 2: Convert to fraction form
    5,827.16/8,042.90 = 3,702.04/x
  3. Step 3: Cross multiply
    5,827.16x = 8,042.90 × 3,702.04
  4. Step 4: Simplify right side
    5,827.16x = 29,775,137.52
  5. Step 5: Solve for x
    x = 29,775,137.52/5,827.16
  6. Step 6: Final answer
    x = 5,109.72

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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.