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Finding the Fourth Proportional to 4,607.27, 6,908.74 and 1,683.53

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Solution

The fourth proportional to 4,607.27, 6,908.74 and 1,683.53 is: 2,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.27 : 6,908.74 = 1,683.53 : x
  2. Step 2: Convert to fraction form
    4,607.27/6,908.74 = 1,683.53/x
  3. Step 3: Cross multiply
    4,607.27x = 6,908.74 × 1,683.53
  4. Step 4: Simplify right side
    4,607.27x = 11,631,071.05
  5. Step 5: Solve for x
    x = 11,631,071.05/4,607.27
  6. Step 6: Final answer
    x = 2,524.50

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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.