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Finding the Fourth Proportional to 6,258.51, 8,636.49 and 3,742.01

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Solution

The fourth proportional to 6,258.51, 8,636.49 and 3,742.01 is: 5,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.51 : 8,636.49 = 3,742.01 : x
  2. Step 2: Convert to fraction form
    6,258.51/8,636.49 = 3,742.01/x
  3. Step 3: Cross multiply
    6,258.51x = 8,636.49 × 3,742.01
  4. Step 4: Simplify right side
    6,258.51x = 32,317,831.94
  5. Step 5: Solve for x
    x = 32,317,831.94/6,258.51
  6. Step 6: Final answer
    x = 5,163.82

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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.