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Finding the Fourth Proportional to 5,828.75, 8,046.71 and 4,532.34

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Solution

The fourth proportional to 5,828.75, 8,046.71 and 4,532.34 is: 6,257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.75 : 8,046.71 = 4,532.34 : x
  2. Step 2: Convert to fraction form
    5,828.75/8,046.71 = 4,532.34/x
  3. Step 3: Cross multiply
    5,828.75x = 8,046.71 × 4,532.34
  4. Step 4: Simplify right side
    5,828.75x = 36,470,436.93
  5. Step 5: Solve for x
    x = 36,470,436.93/5,828.75
  6. Step 6: Final answer
    x = 6,257.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.