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Finding the Fourth Proportional to 4,752.36, 6,584.75 and 4,644.84

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Solution

The fourth proportional to 4,752.36, 6,584.75 and 4,644.84 is: 6,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.36 : 6,584.75 = 4,644.84 : x
  2. Step 2: Convert to fraction form
    4,752.36/6,584.75 = 4,644.84/x
  3. Step 3: Cross multiply
    4,752.36x = 6,584.75 × 4,644.84
  4. Step 4: Simplify right side
    4,752.36x = 30,585,110.19
  5. Step 5: Solve for x
    x = 30,585,110.19/4,752.36
  6. Step 6: Final answer
    x = 6,435.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.