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Finding the Fourth Proportional to 4,608.39, 6,913.80 and 2,416.53

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Solution

The fourth proportional to 4,608.39, 6,913.80 and 2,416.53 is: 3,625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.39 : 6,913.80 = 2,416.53 : x
  2. Step 2: Convert to fraction form
    4,608.39/6,913.80 = 2,416.53/x
  3. Step 3: Cross multiply
    4,608.39x = 6,913.80 × 2,416.53
  4. Step 4: Simplify right side
    4,608.39x = 16,707,405.11
  5. Step 5: Solve for x
    x = 16,707,405.11/4,608.39
  6. Step 6: Final answer
    x = 3,625.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.