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Finding the Fourth Proportional to 5,212.62, 7,803.81 and 4,054.86

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Solution

The fourth proportional to 5,212.62, 7,803.81 and 4,054.86 is: 6,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.62 : 7,803.81 = 4,054.86 : x
  2. Step 2: Convert to fraction form
    5,212.62/7,803.81 = 4,054.86/x
  3. Step 3: Cross multiply
    5,212.62x = 7,803.81 × 4,054.86
  4. Step 4: Simplify right side
    5,212.62x = 31,643,357.02
  5. Step 5: Solve for x
    x = 31,643,357.02/5,212.62
  6. Step 6: Final answer
    x = 6,070.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.