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Finding the Fourth Proportional to 5,001, 7,500.42 and 3,535.98

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Solution

The fourth proportional to 5,001, 7,500.42 and 3,535.98 is: 5,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001 : 7,500.42 = 3,535.98 : x
  2. Step 2: Convert to fraction form
    5,001/7,500.42 = 3,535.98/x
  3. Step 3: Cross multiply
    5,001x = 7,500.42 × 3,535.98
  4. Step 4: Simplify right side
    5,001x = 26,521,335.11
  5. Step 5: Solve for x
    x = 26,521,335.11/5,001
  6. Step 6: Final answer
    x = 5,303.21

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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.