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Finding the Fourth Proportional to 4,764.03, 7,130.49 and 4,309.35

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Solution

The fourth proportional to 4,764.03, 7,130.49 and 4,309.35 is: 6,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.03 : 7,130.49 = 4,309.35 : x
  2. Step 2: Convert to fraction form
    4,764.03/7,130.49 = 4,309.35/x
  3. Step 3: Cross multiply
    4,764.03x = 7,130.49 × 4,309.35
  4. Step 4: Simplify right side
    4,764.03x = 30,727,777.08
  5. Step 5: Solve for x
    x = 30,727,777.08/4,764.03
  6. Step 6: Final answer
    x = 6,449.95

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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.