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Finding the Fourth Proportional to 4,645.96, 6,411.81 and 2,657.15

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Solution

The fourth proportional to 4,645.96, 6,411.81 and 2,657.15 is: 3,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.96 : 6,411.81 = 2,657.15 : x
  2. Step 2: Convert to fraction form
    4,645.96/6,411.81 = 2,657.15/x
  3. Step 3: Cross multiply
    4,645.96x = 6,411.81 × 2,657.15
  4. Step 4: Simplify right side
    4,645.96x = 17,037,164.01
  5. Step 5: Solve for x
    x = 17,037,164.01/4,645.96
  6. Step 6: Final answer
    x = 3,667.09

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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.