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Finding the Fourth Proportional to 4,805, 7,207.50 and 1,157

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Solution

The fourth proportional to 4,805, 7,207.50 and 1,157 is: 1,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805 : 7,207.50 = 1,157 : x
  2. Step 2: Convert to fraction form
    4,805/7,207.50 = 1,157/x
  3. Step 3: Cross multiply
    4,805x = 7,207.50 × 1,157
  4. Step 4: Simplify right side
    4,805x = 8,339,077.50
  5. Step 5: Solve for x
    x = 8,339,077.50/4,805
  6. Step 6: Final answer
    x = 1,735.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.