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Finding the Fourth Proportional to 5,785.91, 7,984.07 and 3,395.62

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Solution

The fourth proportional to 5,785.91, 7,984.07 and 3,395.62 is: 4,685.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.91 : 7,984.07 = 3,395.62 : x
  2. Step 2: Convert to fraction form
    5,785.91/7,984.07 = 3,395.62/x
  3. Step 3: Cross multiply
    5,785.91x = 7,984.07 × 3,395.62
  4. Step 4: Simplify right side
    5,785.91x = 27,110,873.51
  5. Step 5: Solve for x
    x = 27,110,873.51/5,785.91
  6. Step 6: Final answer
    x = 4,685.67

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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.