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Finding the Fourth Proportional to 5,093.63, 7,636.83 and 1,971.01

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Solution

The fourth proportional to 5,093.63, 7,636.83 and 1,971.01 is: 2,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.63 : 7,636.83 = 1,971.01 : x
  2. Step 2: Convert to fraction form
    5,093.63/7,636.83 = 1,971.01/x
  3. Step 3: Cross multiply
    5,093.63x = 7,636.83 × 1,971.01
  4. Step 4: Simplify right side
    5,093.63x = 15,052,225.19
  5. Step 5: Solve for x
    x = 15,052,225.19/5,093.63
  6. Step 6: Final answer
    x = 2,955.11

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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.