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Finding the Fourth Proportional to 5,176.36, 7,142.52 and 3,053.68

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Solution

The fourth proportional to 5,176.36, 7,142.52 and 3,053.68 is: 4,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.36 : 7,142.52 = 3,053.68 : x
  2. Step 2: Convert to fraction form
    5,176.36/7,142.52 = 3,053.68/x
  3. Step 3: Cross multiply
    5,176.36x = 7,142.52 × 3,053.68
  4. Step 4: Simplify right side
    5,176.36x = 21,810,970.47
  5. Step 5: Solve for x
    x = 21,810,970.47/5,176.36
  6. Step 6: Final answer
    x = 4,213.57

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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.