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Finding the Fourth Proportional to 4,660.84, 6,431.79 and 2,564.92

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Solution

The fourth proportional to 4,660.84, 6,431.79 and 2,564.92 is: 3,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.84 : 6,431.79 = 2,564.92 : x
  2. Step 2: Convert to fraction form
    4,660.84/6,431.79 = 2,564.92/x
  3. Step 3: Cross multiply
    4,660.84x = 6,431.79 × 2,564.92
  4. Step 4: Simplify right side
    4,660.84x = 16,497,026.81
  5. Step 5: Solve for x
    x = 16,497,026.81/4,660.84
  6. Step 6: Final answer
    x = 3,539.50

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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.