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Finding the Fourth Proportional to 4,002.40, 6,002.88 and 1,369.60

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Solution

The fourth proportional to 4,002.40, 6,002.88 and 1,369.60 is: 2,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.40 : 6,002.88 = 1,369.60 : x
  2. Step 2: Convert to fraction form
    4,002.40/6,002.88 = 1,369.60/x
  3. Step 3: Cross multiply
    4,002.40x = 6,002.88 × 1,369.60
  4. Step 4: Simplify right side
    4,002.40x = 8,221,544.45
  5. Step 5: Solve for x
    x = 8,221,544.45/4,002.40
  6. Step 6: Final answer
    x = 2,054.15

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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.