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Finding the Fourth Proportional to 4,904.54, 7,354.49 and 1,782.34

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Solution

The fourth proportional to 4,904.54, 7,354.49 and 1,782.34 is: 2,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.54 : 7,354.49 = 1,782.34 : x
  2. Step 2: Convert to fraction form
    4,904.54/7,354.49 = 1,782.34/x
  3. Step 3: Cross multiply
    4,904.54x = 7,354.49 × 1,782.34
  4. Step 4: Simplify right side
    4,904.54x = 13,108,201.71
  5. Step 5: Solve for x
    x = 13,108,201.71/4,904.54
  6. Step 6: Final answer
    x = 2,672.67

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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.