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Finding the Fourth Proportional to 3,535.72, 5,268.05 and 3,337

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Solution

The fourth proportional to 3,535.72, 5,268.05 and 3,337 is: 4,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.72 : 5,268.05 = 3,337 : x
  2. Step 2: Convert to fraction form
    3,535.72/5,268.05 = 3,337/x
  3. Step 3: Cross multiply
    3,535.72x = 5,268.05 × 3,337
  4. Step 4: Simplify right side
    3,535.72x = 17,579,482.85
  5. Step 5: Solve for x
    x = 17,579,482.85/3,535.72
  6. Step 6: Final answer
    x = 4,971.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.