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Finding the Fourth Proportional to 5,785.66, 7,984.19 and 3,133.06

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Solution

The fourth proportional to 5,785.66, 7,984.19 and 3,133.06 is: 4,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.66 : 7,984.19 = 3,133.06 : x
  2. Step 2: Convert to fraction form
    5,785.66/7,984.19 = 3,133.06/x
  3. Step 3: Cross multiply
    5,785.66x = 7,984.19 × 3,133.06
  4. Step 4: Simplify right side
    5,785.66x = 25,014,914.23
  5. Step 5: Solve for x
    x = 25,014,914.23/5,785.66
  6. Step 6: Final answer
    x = 4,323.61

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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.