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Finding the Fourth Proportional to 4,906.54, 7,357.49 and 1,784.34

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Solution

The fourth proportional to 4,906.54, 7,357.49 and 1,784.34 is: 2,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.54 : 7,357.49 = 1,784.34 : x
  2. Step 2: Convert to fraction form
    4,906.54/7,357.49 = 1,784.34/x
  3. Step 3: Cross multiply
    4,906.54x = 7,357.49 × 1,784.34
  4. Step 4: Simplify right side
    4,906.54x = 13,128,263.71
  5. Step 5: Solve for x
    x = 13,128,263.71/4,906.54
  6. Step 6: Final answer
    x = 2,675.67

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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.