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Finding the Fourth Proportional to 5,835.42, 8,054.91 and 4,956.30

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Solution

The fourth proportional to 5,835.42, 8,054.91 and 4,956.30 is: 6,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.42 : 8,054.91 = 4,956.30 : x
  2. Step 2: Convert to fraction form
    5,835.42/8,054.91 = 4,956.30/x
  3. Step 3: Cross multiply
    5,835.42x = 8,054.91 × 4,956.30
  4. Step 4: Simplify right side
    5,835.42x = 39,922,550.43
  5. Step 5: Solve for x
    x = 39,922,550.43/5,835.42
  6. Step 6: Final answer
    x = 6,841.42

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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.