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Finding the Fourth Proportional to 4,002.95, 6,004.74 and 1,081.20

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Solution

The fourth proportional to 4,002.95, 6,004.74 and 1,081.20 is: 1,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.95 : 6,004.74 = 1,081.20 : x
  2. Step 2: Convert to fraction form
    4,002.95/6,004.74 = 1,081.20/x
  3. Step 3: Cross multiply
    4,002.95x = 6,004.74 × 1,081.20
  4. Step 4: Simplify right side
    4,002.95x = 6,492,324.89
  5. Step 5: Solve for x
    x = 6,492,324.89/4,002.95
  6. Step 6: Final answer
    x = 1,621.89

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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.