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Finding the Fourth Proportional to 4,586.74, 6,329.49 and 2,597.59

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Solution

The fourth proportional to 4,586.74, 6,329.49 and 2,597.59 is: 3,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.74 : 6,329.49 = 2,597.59 : x
  2. Step 2: Convert to fraction form
    4,586.74/6,329.49 = 2,597.59/x
  3. Step 3: Cross multiply
    4,586.74x = 6,329.49 × 2,597.59
  4. Step 4: Simplify right side
    4,586.74x = 16,441,419.93
  5. Step 5: Solve for x
    x = 16,441,419.93/4,586.74
  6. Step 6: Final answer
    x = 3,584.55

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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.