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Finding the Fourth Proportional to 4,586.73, 6,329.79 and 2,597.51

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Solution

The fourth proportional to 4,586.73, 6,329.79 and 2,597.51 is: 3,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.73 : 6,329.79 = 2,597.51 : x
  2. Step 2: Convert to fraction form
    4,586.73/6,329.79 = 2,597.51/x
  3. Step 3: Cross multiply
    4,586.73x = 6,329.79 × 2,597.51
  4. Step 4: Simplify right side
    4,586.73x = 16,441,661.17
  5. Step 5: Solve for x
    x = 16,441,661.17/4,586.73
  6. Step 6: Final answer
    x = 3,584.62

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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.