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Finding the Fourth Proportional to 5,865.20, 8,095.80 and 4,828.40

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Solution

The fourth proportional to 5,865.20, 8,095.80 and 4,828.40 is: 6,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.20 : 8,095.80 = 4,828.40 : x
  2. Step 2: Convert to fraction form
    5,865.20/8,095.80 = 4,828.40/x
  3. Step 3: Cross multiply
    5,865.20x = 8,095.80 × 4,828.40
  4. Step 4: Simplify right side
    5,865.20x = 39,089,760.72
  5. Step 5: Solve for x
    x = 39,089,760.72/5,865.20
  6. Step 6: Final answer
    x = 6,664.69

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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.