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Finding the Fourth Proportional to 4,586.76, 6,329.84 and 2,596.91

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Solution

The fourth proportional to 4,586.76, 6,329.84 and 2,596.91 is: 3,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.76 : 6,329.84 = 2,596.91 : x
  2. Step 2: Convert to fraction form
    4,586.76/6,329.84 = 2,596.91/x
  3. Step 3: Cross multiply
    4,586.76x = 6,329.84 × 2,596.91
  4. Step 4: Simplify right side
    4,586.76x = 16,437,980.16
  5. Step 5: Solve for x
    x = 16,437,980.16/4,586.76
  6. Step 6: Final answer
    x = 3,583.79

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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.