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Finding the Fourth Proportional to 5,302, 7,316.76 and 3,094

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Solution

The fourth proportional to 5,302, 7,316.76 and 3,094 is: 4,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302 : 7,316.76 = 3,094 : x
  2. Step 2: Convert to fraction form
    5,302/7,316.76 = 3,094/x
  3. Step 3: Cross multiply
    5,302x = 7,316.76 × 3,094
  4. Step 4: Simplify right side
    5,302x = 22,638,055.44
  5. Step 5: Solve for x
    x = 22,638,055.44/5,302
  6. Step 6: Final answer
    x = 4,269.72

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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.