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Finding the Fourth Proportional to 4,547.35, 6,824.45 and 2,083.90

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Solution

The fourth proportional to 4,547.35, 6,824.45 and 2,083.90 is: 3,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.35 : 6,824.45 = 2,083.90 : x
  2. Step 2: Convert to fraction form
    4,547.35/6,824.45 = 2,083.90/x
  3. Step 3: Cross multiply
    4,547.35x = 6,824.45 × 2,083.90
  4. Step 4: Simplify right side
    4,547.35x = 14,221,472.30
  5. Step 5: Solve for x
    x = 14,221,472.30/4,547.35
  6. Step 6: Final answer
    x = 3,127.42

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