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Finding the Fourth Proportional to 5,628.64, 7,768.18 and 4,682.76

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Solution

The fourth proportional to 5,628.64, 7,768.18 and 4,682.76 is: 6,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.64 : 7,768.18 = 4,682.76 : x
  2. Step 2: Convert to fraction form
    5,628.64/7,768.18 = 4,682.76/x
  3. Step 3: Cross multiply
    5,628.64x = 7,768.18 × 4,682.76
  4. Step 4: Simplify right side
    5,628.64x = 36,376,529.83
  5. Step 5: Solve for x
    x = 36,376,529.83/5,628.64
  6. Step 6: Final answer
    x = 6,462.76

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