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Finding the Fourth Proportional to 4,608.42, 6,358.66 and 2,618.25

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Solution

The fourth proportional to 4,608.42, 6,358.66 and 2,618.25 is: 3,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.42 : 6,358.66 = 2,618.25 : x
  2. Step 2: Convert to fraction form
    4,608.42/6,358.66 = 2,618.25/x
  3. Step 3: Cross multiply
    4,608.42x = 6,358.66 × 2,618.25
  4. Step 4: Simplify right side
    4,608.42x = 16,648,561.55
  5. Step 5: Solve for x
    x = 16,648,561.55/4,608.42
  6. Step 6: Final answer
    x = 3,612.64

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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.