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Finding the Fourth Proportional to 4,846.48, 6,648.02 and 4,804.96

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Solution

The fourth proportional to 4,846.48, 6,648.02 and 4,804.96 is: 6,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.48 : 6,648.02 = 4,804.96 : x
  2. Step 2: Convert to fraction form
    4,846.48/6,648.02 = 4,804.96/x
  3. Step 3: Cross multiply
    4,846.48x = 6,648.02 × 4,804.96
  4. Step 4: Simplify right side
    4,846.48x = 31,943,470.18
  5. Step 5: Solve for x
    x = 31,943,470.18/4,846.48
  6. Step 6: Final answer
    x = 6,591.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.