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Finding the Fourth Proportional to 3,630.58, 5,442.02 and 1,436.28

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Solution

The fourth proportional to 3,630.58, 5,442.02 and 1,436.28 is: 2,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.58 : 5,442.02 = 1,436.28 : x
  2. Step 2: Convert to fraction form
    3,630.58/5,442.02 = 1,436.28/x
  3. Step 3: Cross multiply
    3,630.58x = 5,442.02 × 1,436.28
  4. Step 4: Simplify right side
    3,630.58x = 7,816,264.49
  5. Step 5: Solve for x
    x = 7,816,264.49/3,630.58
  6. Step 6: Final answer
    x = 2,152.90

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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.