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Finding the Fourth Proportional to 3,408.12, 4,703.40 and 1,916.10

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Solution

The fourth proportional to 3,408.12, 4,703.40 and 1,916.10 is: 2,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.12 : 4,703.40 = 1,916.10 : x
  2. Step 2: Convert to fraction form
    3,408.12/4,703.40 = 1,916.10/x
  3. Step 3: Cross multiply
    3,408.12x = 4,703.40 × 1,916.10
  4. Step 4: Simplify right side
    3,408.12x = 9,012,184.74
  5. Step 5: Solve for x
    x = 9,012,184.74/3,408.12
  6. Step 6: Final answer
    x = 2,644.33

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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.