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Finding the Fourth Proportional to 5,431.86, 7,495.97 and 2,947.86

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Solution

The fourth proportional to 5,431.86, 7,495.97 and 2,947.86 is: 4,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.86 : 7,495.97 = 2,947.86 : x
  2. Step 2: Convert to fraction form
    5,431.86/7,495.97 = 2,947.86/x
  3. Step 3: Cross multiply
    5,431.86x = 7,495.97 × 2,947.86
  4. Step 4: Simplify right side
    5,431.86x = 22,097,054.38
  5. Step 5: Solve for x
    x = 22,097,054.38/5,431.86
  6. Step 6: Final answer
    x = 4,068.05

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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.