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Finding the Fourth Proportional to 4,339.44, 6,509.54 and 1,219.47

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Solution

The fourth proportional to 4,339.44, 6,509.54 and 1,219.47 is: 1,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.44 : 6,509.54 = 1,219.47 : x
  2. Step 2: Convert to fraction form
    4,339.44/6,509.54 = 1,219.47/x
  3. Step 3: Cross multiply
    4,339.44x = 6,509.54 × 1,219.47
  4. Step 4: Simplify right side
    4,339.44x = 7,938,197.14
  5. Step 5: Solve for x
    x = 7,938,197.14/4,339.44
  6. Step 6: Final answer
    x = 1,829.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.