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Finding the Fourth Proportional to 4,764.08, 7,146.38 and 1,477.64

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Solution

The fourth proportional to 4,764.08, 7,146.38 and 1,477.64 is: 2,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.08 : 7,146.38 = 1,477.64 : x
  2. Step 2: Convert to fraction form
    4,764.08/7,146.38 = 1,477.64/x
  3. Step 3: Cross multiply
    4,764.08x = 7,146.38 × 1,477.64
  4. Step 4: Simplify right side
    4,764.08x = 10,559,744.91
  5. Step 5: Solve for x
    x = 10,559,744.91/4,764.08
  6. Step 6: Final answer
    x = 2,216.54

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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.