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Finding the Fourth Proportional to 3,548.94, 5,323.29 and 1,467.35

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Solution

The fourth proportional to 3,548.94, 5,323.29 and 1,467.35 is: 2,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.94 : 5,323.29 = 1,467.35 : x
  2. Step 2: Convert to fraction form
    3,548.94/5,323.29 = 1,467.35/x
  3. Step 3: Cross multiply
    3,548.94x = 5,323.29 × 1,467.35
  4. Step 4: Simplify right side
    3,548.94x = 7,811,152.26
  5. Step 5: Solve for x
    x = 7,811,152.26/3,548.94
  6. Step 6: Final answer
    x = 2,200.98

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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.