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Finding the Fourth Proportional to 3,848.57, 5,768.93 and 1,349.01

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Solution

The fourth proportional to 3,848.57, 5,768.93 and 1,349.01 is: 2,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.57 : 5,768.93 = 1,349.01 : x
  2. Step 2: Convert to fraction form
    3,848.57/5,768.93 = 1,349.01/x
  3. Step 3: Cross multiply
    3,848.57x = 5,768.93 × 1,349.01
  4. Step 4: Simplify right side
    3,848.57x = 7,782,337.51
  5. Step 5: Solve for x
    x = 7,782,337.51/3,848.57
  6. Step 6: Final answer
    x = 2,022.14

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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.