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Finding the Fourth Proportional to 3,408.02, 4,707.70 and 2,671.28

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Solution

The fourth proportional to 3,408.02, 4,707.70 and 2,671.28 is: 3,690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.02 : 4,707.70 = 2,671.28 : x
  2. Step 2: Convert to fraction form
    3,408.02/4,707.70 = 2,671.28/x
  3. Step 3: Cross multiply
    3,408.02x = 4,707.70 × 2,671.28
  4. Step 4: Simplify right side
    3,408.02x = 12,575,584.86
  5. Step 5: Solve for x
    x = 12,575,584.86/3,408.02
  6. Step 6: Final answer
    x = 3,690.00

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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.