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Finding the Fourth Proportional to 5,001, 7,501.50 and 2,265

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Solution

The fourth proportional to 5,001, 7,501.50 and 2,265 is: 3,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001 : 7,501.50 = 2,265 : x
  2. Step 2: Convert to fraction form
    5,001/7,501.50 = 2,265/x
  3. Step 3: Cross multiply
    5,001x = 7,501.50 × 2,265
  4. Step 4: Simplify right side
    5,001x = 16,990,897.50
  5. Step 5: Solve for x
    x = 16,990,897.50/5,001
  6. Step 6: Final answer
    x = 3,397.50

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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.