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Finding the Fourth Proportional to 5,684.92, 7,840.05 and 4,474.12

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Solution

The fourth proportional to 5,684.92, 7,840.05 and 4,474.12 is: 6,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.92 : 7,840.05 = 4,474.12 : x
  2. Step 2: Convert to fraction form
    5,684.92/7,840.05 = 4,474.12/x
  3. Step 3: Cross multiply
    5,684.92x = 7,840.05 × 4,474.12
  4. Step 4: Simplify right side
    5,684.92x = 35,077,324.51
  5. Step 5: Solve for x
    x = 35,077,324.51/5,684.92
  6. Step 6: Final answer
    x = 6,170.24

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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.