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Finding the Fourth Proportional to 4,253, 6,379.48 and 1,133.01

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Solution

The fourth proportional to 4,253, 6,379.48 and 1,133.01 is: 1,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253 : 6,379.48 = 1,133.01 : x
  2. Step 2: Convert to fraction form
    4,253/6,379.48 = 1,133.01/x
  3. Step 3: Cross multiply
    4,253x = 6,379.48 × 1,133.01
  4. Step 4: Simplify right side
    4,253x = 7,227,982.74
  5. Step 5: Solve for x
    x = 7,227,982.74/4,253
  6. Step 6: Final answer
    x = 1,699.50

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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.