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Finding the Fourth Proportional to 5,482.97, 8,222.51 and 1,784.51

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Solution

The fourth proportional to 5,482.97, 8,222.51 and 1,784.51 is: 2,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.97 : 8,222.51 = 1,784.51 : x
  2. Step 2: Convert to fraction form
    5,482.97/8,222.51 = 1,784.51/x
  3. Step 3: Cross multiply
    5,482.97x = 8,222.51 × 1,784.51
  4. Step 4: Simplify right side
    5,482.97x = 14,673,101.29
  5. Step 5: Solve for x
    x = 14,673,101.29/5,482.97
  6. Step 6: Final answer
    x = 2,676.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.