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Finding the Fourth Proportional to 5,684.64, 8,508.42 and 4,019.64

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Solution

The fourth proportional to 5,684.64, 8,508.42 and 4,019.64 is: 6,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.64 : 8,508.42 = 4,019.64 : x
  2. Step 2: Convert to fraction form
    5,684.64/8,508.42 = 4,019.64/x
  3. Step 3: Cross multiply
    5,684.64x = 8,508.42 × 4,019.64
  4. Step 4: Simplify right side
    5,684.64x = 34,200,785.37
  5. Step 5: Solve for x
    x = 34,200,785.37/5,684.64
  6. Step 6: Final answer
    x = 6,016.35

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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.