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Finding the Fourth Proportional to 6,259.97, 8,639.54 and 3,742.08

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Solution

The fourth proportional to 6,259.97, 8,639.54 and 3,742.08 is: 5,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.97 : 8,639.54 = 3,742.08 : x
  2. Step 2: Convert to fraction form
    6,259.97/8,639.54 = 3,742.08/x
  3. Step 3: Cross multiply
    6,259.97x = 8,639.54 × 3,742.08
  4. Step 4: Simplify right side
    6,259.97x = 32,329,831.13
  5. Step 5: Solve for x
    x = 32,329,831.13/6,259.97
  6. Step 6: Final answer
    x = 5,164.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.