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Finding the Fourth Proportional to 4,532.51, 6,799.24 and 2,068.03

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Solution

The fourth proportional to 4,532.51, 6,799.24 and 2,068.03 is: 3,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.51 : 6,799.24 = 2,068.03 : x
  2. Step 2: Convert to fraction form
    4,532.51/6,799.24 = 2,068.03/x
  3. Step 3: Cross multiply
    4,532.51x = 6,799.24 × 2,068.03
  4. Step 4: Simplify right side
    4,532.51x = 14,061,043.38
  5. Step 5: Solve for x
    x = 14,061,043.38/4,532.51
  6. Step 6: Final answer
    x = 3,102.27

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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.