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Finding the Fourth Proportional to 3,408.49, 4,703.61 and 1,916.47

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Solution

The fourth proportional to 3,408.49, 4,703.61 and 1,916.47 is: 2,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.49 : 4,703.61 = 1,916.47 : x
  2. Step 2: Convert to fraction form
    3,408.49/4,703.61 = 1,916.47/x
  3. Step 3: Cross multiply
    3,408.49x = 4,703.61 × 1,916.47
  4. Step 4: Simplify right side
    3,408.49x = 9,014,327.46
  5. Step 5: Solve for x
    x = 9,014,327.46/3,408.49
  6. Step 6: Final answer
    x = 2,644.67

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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.