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Finding the Fourth Proportional to 3,448.95, 5,173.52 and 1,259.31

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Solution

The fourth proportional to 3,448.95, 5,173.52 and 1,259.31 is: 1,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.95 : 5,173.52 = 1,259.31 : x
  2. Step 2: Convert to fraction form
    3,448.95/5,173.52 = 1,259.31/x
  3. Step 3: Cross multiply
    3,448.95x = 5,173.52 × 1,259.31
  4. Step 4: Simplify right side
    3,448.95x = 6,515,059.17
  5. Step 5: Solve for x
    x = 6,515,059.17/3,448.95
  6. Step 6: Final answer
    x = 1,889.00

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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.