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Finding the Fourth Proportional to 4,659.84, 6,428.16 and 3,776.64

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Solution

The fourth proportional to 4,659.84, 6,428.16 and 3,776.64 is: 5,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.84 : 6,428.16 = 3,776.64 : x
  2. Step 2: Convert to fraction form
    4,659.84/6,428.16 = 3,776.64/x
  3. Step 3: Cross multiply
    4,659.84x = 6,428.16 × 3,776.64
  4. Step 4: Simplify right side
    4,659.84x = 24,276,846.18
  5. Step 5: Solve for x
    x = 24,276,846.18/4,659.84
  6. Step 6: Final answer
    x = 5,209.80

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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.