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Finding the Fourth Proportional to 3,548.34, 5,323.46 and 1,357.25

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Solution

The fourth proportional to 3,548.34, 5,323.46 and 1,357.25 is: 2,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.34 : 5,323.46 = 1,357.25 : x
  2. Step 2: Convert to fraction form
    3,548.34/5,323.46 = 1,357.25/x
  3. Step 3: Cross multiply
    3,548.34x = 5,323.46 × 1,357.25
  4. Step 4: Simplify right side
    3,548.34x = 7,225,232.68
  5. Step 5: Solve for x
    x = 7,225,232.68/3,548.34
  6. Step 6: Final answer
    x = 2,036.23

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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.