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Finding the Fourth Proportional to 5,148.14, 7,119.38 and 5,054.68

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Solution

The fourth proportional to 5,148.14, 7,119.38 and 5,054.68 is: 6,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.14 : 7,119.38 = 5,054.68 : x
  2. Step 2: Convert to fraction form
    5,148.14/7,119.38 = 5,054.68/x
  3. Step 3: Cross multiply
    5,148.14x = 7,119.38 × 5,054.68
  4. Step 4: Simplify right side
    5,148.14x = 35,986,187.70
  5. Step 5: Solve for x
    x = 35,986,187.70/5,148.14
  6. Step 6: Final answer
    x = 6,990.13

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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.