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Finding the Fourth Proportional to 5,071.99, 7,611.90 and 3,316.52

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Solution

The fourth proportional to 5,071.99, 7,611.90 and 3,316.52 is: 4,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.99 : 7,611.90 = 3,316.52 : x
  2. Step 2: Convert to fraction form
    5,071.99/7,611.90 = 3,316.52/x
  3. Step 3: Cross multiply
    5,071.99x = 7,611.90 × 3,316.52
  4. Step 4: Simplify right side
    5,071.99x = 25,244,980.53
  5. Step 5: Solve for x
    x = 25,244,980.53/5,071.99
  6. Step 6: Final answer
    x = 4,977.33

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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.