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Finding the Fourth Proportional to 4,971.87, 7,458.44 and 1,684.08

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Solution

The fourth proportional to 4,971.87, 7,458.44 and 1,684.08 is: 2,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.87 : 7,458.44 = 1,684.08 : x
  2. Step 2: Convert to fraction form
    4,971.87/7,458.44 = 1,684.08/x
  3. Step 3: Cross multiply
    4,971.87x = 7,458.44 × 1,684.08
  4. Step 4: Simplify right side
    4,971.87x = 12,560,601.21
  5. Step 5: Solve for x
    x = 12,560,601.21/4,971.87
  6. Step 6: Final answer
    x = 2,526.33

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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.