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Finding the Fourth Proportional to 4,883.52, 7,326 and 1,420.32

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Solution

The fourth proportional to 4,883.52, 7,326 and 1,420.32 is: 2,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.52 : 7,326 = 1,420.32 : x
  2. Step 2: Convert to fraction form
    4,883.52/7,326 = 1,420.32/x
  3. Step 3: Cross multiply
    4,883.52x = 7,326 × 1,420.32
  4. Step 4: Simplify right side
    4,883.52x = 10,405,264.32
  5. Step 5: Solve for x
    x = 10,405,264.32/4,883.52
  6. Step 6: Final answer
    x = 2,130.69

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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.