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Finding the Fourth Proportional to 4,586.69, 6,329.70 and 2,597.19

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Solution

The fourth proportional to 4,586.69, 6,329.70 and 2,597.19 is: 3,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.69 : 6,329.70 = 2,597.19 : x
  2. Step 2: Convert to fraction form
    4,586.69/6,329.70 = 2,597.19/x
  3. Step 3: Cross multiply
    4,586.69x = 6,329.70 × 2,597.19
  4. Step 4: Simplify right side
    4,586.69x = 16,439,433.54
  5. Step 5: Solve for x
    x = 16,439,433.54/4,586.69
  6. Step 6: Final answer
    x = 3,584.16

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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.