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Finding the Fourth Proportional to 3,442.99, 5,164.55 and 1,362.50

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Solution

The fourth proportional to 3,442.99, 5,164.55 and 1,362.50 is: 2,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.99 : 5,164.55 = 1,362.50 : x
  2. Step 2: Convert to fraction form
    3,442.99/5,164.55 = 1,362.50/x
  3. Step 3: Cross multiply
    3,442.99x = 5,164.55 × 1,362.50
  4. Step 4: Simplify right side
    3,442.99x = 7,036,699.38
  5. Step 5: Solve for x
    x = 7,036,699.38/3,442.99
  6. Step 6: Final answer
    x = 2,043.78

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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.