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Finding the Fourth Proportional to 5,054.38, 6,975.65 and 2,958.50

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Solution

The fourth proportional to 5,054.38, 6,975.65 and 2,958.50 is: 4,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.38 : 6,975.65 = 2,958.50 : x
  2. Step 2: Convert to fraction form
    5,054.38/6,975.65 = 2,958.50/x
  3. Step 3: Cross multiply
    5,054.38x = 6,975.65 × 2,958.50
  4. Step 4: Simplify right side
    5,054.38x = 20,637,460.53
  5. Step 5: Solve for x
    x = 20,637,460.53/5,054.38
  6. Step 6: Final answer
    x = 4,083.08

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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.