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Finding the Fourth Proportional to 4,349.44, 6,000 and 2,580.32

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Solution

The fourth proportional to 4,349.44, 6,000 and 2,580.32 is: 3,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.44 : 6,000 = 2,580.32 : x
  2. Step 2: Convert to fraction form
    4,349.44/6,000 = 2,580.32/x
  3. Step 3: Cross multiply
    4,349.44x = 6,000 × 2,580.32
  4. Step 4: Simplify right side
    4,349.44x = 15,481,920.00
  5. Step 5: Solve for x
    x = 15,481,920.00/4,349.44
  6. Step 6: Final answer
    x = 3,559.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.