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Finding the Fourth Proportional to 4,883, 7,324.50 and 1,420.28

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Solution

The fourth proportional to 4,883, 7,324.50 and 1,420.28 is: 2,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883 : 7,324.50 = 1,420.28 : x
  2. Step 2: Convert to fraction form
    4,883/7,324.50 = 1,420.28/x
  3. Step 3: Cross multiply
    4,883x = 7,324.50 × 1,420.28
  4. Step 4: Simplify right side
    4,883x = 10,402,840.86
  5. Step 5: Solve for x
    x = 10,402,840.86/4,883
  6. Step 6: Final answer
    x = 2,130.42

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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.