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Finding the Fourth Proportional to 4,650.64, 6,977.78 and 2,051.76

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Solution

The fourth proportional to 4,650.64, 6,977.78 and 2,051.76 is: 3,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.64 : 6,977.78 = 2,051.76 : x
  2. Step 2: Convert to fraction form
    4,650.64/6,977.78 = 2,051.76/x
  3. Step 3: Cross multiply
    4,650.64x = 6,977.78 × 2,051.76
  4. Step 4: Simplify right side
    4,650.64x = 14,316,729.89
  5. Step 5: Solve for x
    x = 14,316,729.89/4,650.64
  6. Step 6: Final answer
    x = 3,078.44

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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.