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Finding the Fourth Proportional to 3,443.14, 4,749.40 and 3,002.10

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Solution

The fourth proportional to 3,443.14, 4,749.40 and 3,002.10 is: 4,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.14 : 4,749.40 = 3,002.10 : x
  2. Step 2: Convert to fraction form
    3,443.14/4,749.40 = 3,002.10/x
  3. Step 3: Cross multiply
    3,443.14x = 4,749.40 × 3,002.10
  4. Step 4: Simplify right side
    3,443.14x = 14,258,173.74
  5. Step 5: Solve for x
    x = 14,258,173.74/3,443.14
  6. Step 6: Final answer
    x = 4,141.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.