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Finding the Fourth Proportional to 4,547.97, 6,277.07 and 2,847.27

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Solution

The fourth proportional to 4,547.97, 6,277.07 and 2,847.27 is: 3,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.97 : 6,277.07 = 2,847.27 : x
  2. Step 2: Convert to fraction form
    4,547.97/6,277.07 = 2,847.27/x
  3. Step 3: Cross multiply
    4,547.97x = 6,277.07 × 2,847.27
  4. Step 4: Simplify right side
    4,547.97x = 17,872,513.10
  5. Step 5: Solve for x
    x = 17,872,513.10/4,547.97
  6. Step 6: Final answer
    x = 3,929.78

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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.