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Finding the Fourth Proportional to 4,782.96, 6,586.20 and 4,434.48

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Solution

The fourth proportional to 4,782.96, 6,586.20 and 4,434.48 is: 6,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.96 : 6,586.20 = 4,434.48 : x
  2. Step 2: Convert to fraction form
    4,782.96/6,586.20 = 4,434.48/x
  3. Step 3: Cross multiply
    4,782.96x = 6,586.20 × 4,434.48
  4. Step 4: Simplify right side
    4,782.96x = 29,206,372.18
  5. Step 5: Solve for x
    x = 29,206,372.18/4,782.96
  6. Step 6: Final answer
    x = 6,106.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.