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Finding the Fourth Proportional to 4,908.75, 7,358.25 and 2,307.03

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Solution

The fourth proportional to 4,908.75, 7,358.25 and 2,307.03 is: 3,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.75 : 7,358.25 = 2,307.03 : x
  2. Step 2: Convert to fraction form
    4,908.75/7,358.25 = 2,307.03/x
  3. Step 3: Cross multiply
    4,908.75x = 7,358.25 × 2,307.03
  4. Step 4: Simplify right side
    4,908.75x = 16,975,703.50
  5. Step 5: Solve for x
    x = 16,975,703.50/4,908.75
  6. Step 6: Final answer
    x = 3,458.25

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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.