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Finding the Fourth Proportional to 5,827.16, 8,042.67 and 3,590.88

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Solution

The fourth proportional to 5,827.16, 8,042.67 and 3,590.88 is: 4,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.16 : 8,042.67 = 3,590.88 : x
  2. Step 2: Convert to fraction form
    5,827.16/8,042.67 = 3,590.88/x
  3. Step 3: Cross multiply
    5,827.16x = 8,042.67 × 3,590.88
  4. Step 4: Simplify right side
    5,827.16x = 28,880,262.85
  5. Step 5: Solve for x
    x = 28,880,262.85/5,827.16
  6. Step 6: Final answer
    x = 4,956.15

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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.