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Finding the Fourth Proportional to 3,802.78, 5,704.10 and 3,152.14

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Solution

The fourth proportional to 3,802.78, 5,704.10 and 3,152.14 is: 4,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.78 : 5,704.10 = 3,152.14 : x
  2. Step 2: Convert to fraction form
    3,802.78/5,704.10 = 3,152.14/x
  3. Step 3: Cross multiply
    3,802.78x = 5,704.10 × 3,152.14
  4. Step 4: Simplify right side
    3,802.78x = 17,980,121.77
  5. Step 5: Solve for x
    x = 17,980,121.77/3,802.78
  6. Step 6: Final answer
    x = 4,728.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.