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Finding the Fourth Proportional to 5,152.04, 7,728.04 and 3,384.25

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Solution

The fourth proportional to 5,152.04, 7,728.04 and 3,384.25 is: 5,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.04 : 7,728.04 = 3,384.25 : x
  2. Step 2: Convert to fraction form
    5,152.04/7,728.04 = 3,384.25/x
  3. Step 3: Cross multiply
    5,152.04x = 7,728.04 × 3,384.25
  4. Step 4: Simplify right side
    5,152.04x = 26,153,664.58
  5. Step 5: Solve for x
    x = 26,153,664.58/5,152.04
  6. Step 6: Final answer
    x = 5,076.37

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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.