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Finding the Fourth Proportional to 3,559.12, 5,339.28 and 962.32

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Solution

The fourth proportional to 3,559.12, 5,339.28 and 962.32 is: 1,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.12 : 5,339.28 = 962.32 : x
  2. Step 2: Convert to fraction form
    3,559.12/5,339.28 = 962.32/x
  3. Step 3: Cross multiply
    3,559.12x = 5,339.28 × 962.32
  4. Step 4: Simplify right side
    3,559.12x = 5,138,095.93
  5. Step 5: Solve for x
    x = 5,138,095.93/3,559.12
  6. Step 6: Final answer
    x = 1,443.64

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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.