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Finding the Fourth Proportional to 3,548.63, 5,323.59 and 1,467.51

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Solution

The fourth proportional to 3,548.63, 5,323.59 and 1,467.51 is: 2,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.63 : 5,323.59 = 1,467.51 : x
  2. Step 2: Convert to fraction form
    3,548.63/5,323.59 = 1,467.51/x
  3. Step 3: Cross multiply
    3,548.63x = 5,323.59 × 1,467.51
  4. Step 4: Simplify right side
    3,548.63x = 7,812,401.60
  5. Step 5: Solve for x
    x = 7,812,401.60/3,548.63
  6. Step 6: Final answer
    x = 2,201.52

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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.