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Finding the Fourth Proportional to 4,646.43, 6,408.72 and 2,944.35

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Solution

The fourth proportional to 4,646.43, 6,408.72 and 2,944.35 is: 4,061.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.43 : 6,408.72 = 2,944.35 : x
  2. Step 2: Convert to fraction form
    4,646.43/6,408.72 = 2,944.35/x
  3. Step 3: Cross multiply
    4,646.43x = 6,408.72 × 2,944.35
  4. Step 4: Simplify right side
    4,646.43x = 18,869,514.73
  5. Step 5: Solve for x
    x = 18,869,514.73/4,646.43
  6. Step 6: Final answer
    x = 4,061.08

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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.