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Finding the Fourth Proportional to 4,586.68, 6,329.82 and 2,597.32

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Solution

The fourth proportional to 4,586.68, 6,329.82 and 2,597.32 is: 3,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.68 : 6,329.82 = 2,597.32 : x
  2. Step 2: Convert to fraction form
    4,586.68/6,329.82 = 2,597.32/x
  3. Step 3: Cross multiply
    4,586.68x = 6,329.82 × 2,597.32
  4. Step 4: Simplify right side
    4,586.68x = 16,440,568.08
  5. Step 5: Solve for x
    x = 16,440,568.08/4,586.68
  6. Step 6: Final answer
    x = 3,584.42

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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.