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Finding the Fourth Proportional to 4,547.68, 6,821.52 and 3,083.20

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Solution

The fourth proportional to 4,547.68, 6,821.52 and 3,083.20 is: 4,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.68 : 6,821.52 = 3,083.20 : x
  2. Step 2: Convert to fraction form
    4,547.68/6,821.52 = 3,083.20/x
  3. Step 3: Cross multiply
    4,547.68x = 6,821.52 × 3,083.20
  4. Step 4: Simplify right side
    4,547.68x = 21,032,110.46
  5. Step 5: Solve for x
    x = 21,032,110.46/4,547.68
  6. Step 6: Final answer
    x = 4,624.80

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