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Finding the Fourth Proportional to 4,608.40, 6,902.52 and 4,506.94

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Solution

The fourth proportional to 4,608.40, 6,902.52 and 4,506.94 is: 6,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.40 : 6,902.52 = 4,506.94 : x
  2. Step 2: Convert to fraction form
    4,608.40/6,902.52 = 4,506.94/x
  3. Step 3: Cross multiply
    4,608.40x = 6,902.52 × 4,506.94
  4. Step 4: Simplify right side
    4,608.40x = 31,109,243.49
  5. Step 5: Solve for x
    x = 31,109,243.49/4,608.40
  6. Step 6: Final answer
    x = 6,750.55

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