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Finding the Fourth Proportional to 5,074.02, 7,611.66 and 2,475

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Solution

The fourth proportional to 5,074.02, 7,611.66 and 2,475 is: 3,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.02 : 7,611.66 = 2,475 : x
  2. Step 2: Convert to fraction form
    5,074.02/7,611.66 = 2,475/x
  3. Step 3: Cross multiply
    5,074.02x = 7,611.66 × 2,475
  4. Step 4: Simplify right side
    5,074.02x = 18,838,858.50
  5. Step 5: Solve for x
    x = 18,838,858.50/5,074.02
  6. Step 6: Final answer
    x = 3,712.81

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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.