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Finding the Fourth Proportional to 3,594.68, 5,391.93 and 962.18

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Solution

The fourth proportional to 3,594.68, 5,391.93 and 962.18 is: 1,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.68 : 5,391.93 = 962.18 : x
  2. Step 2: Convert to fraction form
    3,594.68/5,391.93 = 962.18/x
  3. Step 3: Cross multiply
    3,594.68x = 5,391.93 × 962.18
  4. Step 4: Simplify right side
    3,594.68x = 5,188,004.08
  5. Step 5: Solve for x
    x = 5,188,004.08/3,594.68
  6. Step 6: Final answer
    x = 1,443.25

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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.