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Finding the Fourth Proportional to 5,682.09, 7,831.71 and 4,352.88

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Solution

The fourth proportional to 5,682.09, 7,831.71 and 4,352.88 is: 5,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.09 : 7,831.71 = 4,352.88 : x
  2. Step 2: Convert to fraction form
    5,682.09/7,831.71 = 4,352.88/x
  3. Step 3: Cross multiply
    5,682.09x = 7,831.71 × 4,352.88
  4. Step 4: Simplify right side
    5,682.09x = 34,090,493.82
  5. Step 5: Solve for x
    x = 34,090,493.82/5,682.09
  6. Step 6: Final answer
    x = 5,999.64

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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.