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Finding the Fourth Proportional to 3,698.28, 5,547.87 and 1,506.42

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Solution

The fourth proportional to 3,698.28, 5,547.87 and 1,506.42 is: 2,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.28 : 5,547.87 = 1,506.42 : x
  2. Step 2: Convert to fraction form
    3,698.28/5,547.87 = 1,506.42/x
  3. Step 3: Cross multiply
    3,698.28x = 5,547.87 × 1,506.42
  4. Step 4: Simplify right side
    3,698.28x = 8,357,422.33
  5. Step 5: Solve for x
    x = 8,357,422.33/3,698.28
  6. Step 6: Final answer
    x = 2,259.81

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