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Finding the Fourth Proportional to 5,395.72, 7,448.34 and 3,719.56

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Solution

The fourth proportional to 5,395.72, 7,448.34 and 3,719.56 is: 5,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.72 : 7,448.34 = 3,719.56 : x
  2. Step 2: Convert to fraction form
    5,395.72/7,448.34 = 3,719.56/x
  3. Step 3: Cross multiply
    5,395.72x = 7,448.34 × 3,719.56
  4. Step 4: Simplify right side
    5,395.72x = 27,704,547.53
  5. Step 5: Solve for x
    x = 27,704,547.53/5,395.72
  6. Step 6: Final answer
    x = 5,134.54

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Why These Related Problems?

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