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Finding the Fourth Proportional to 3,559.40, 5,339.08 and 962.32

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Solution

The fourth proportional to 3,559.40, 5,339.08 and 962.32 is: 1,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.40 : 5,339.08 = 962.32 : x
  2. Step 2: Convert to fraction form
    3,559.40/5,339.08 = 962.32/x
  3. Step 3: Cross multiply
    3,559.40x = 5,339.08 × 962.32
  4. Step 4: Simplify right side
    3,559.40x = 5,137,903.47
  5. Step 5: Solve for x
    x = 5,137,903.47/3,559.40
  6. Step 6: Final answer
    x = 1,443.47

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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.