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Finding the Fourth Proportional to 4,526.52, 6,770.34 and 4,029.72

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Solution

The fourth proportional to 4,526.52, 6,770.34 and 4,029.72 is: 6,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526.52 : 6,770.34 = 4,029.72 : x
  2. Step 2: Convert to fraction form
    4,526.52/6,770.34 = 4,029.72/x
  3. Step 3: Cross multiply
    4,526.52x = 6,770.34 × 4,029.72
  4. Step 4: Simplify right side
    4,526.52x = 27,282,574.50
  5. Step 5: Solve for x
    x = 27,282,574.50/4,526.52
  6. Step 6: Final answer
    x = 6,027.27

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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.