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Finding the Fourth Proportional to 4,586.05, 6,328.74 and 2,596.56

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Solution

The fourth proportional to 4,586.05, 6,328.74 and 2,596.56 is: 3,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.05 : 6,328.74 = 2,596.56 : x
  2. Step 2: Convert to fraction form
    4,586.05/6,328.74 = 2,596.56/x
  3. Step 3: Cross multiply
    4,586.05x = 6,328.74 × 2,596.56
  4. Step 4: Simplify right side
    4,586.05x = 16,432,953.13
  5. Step 5: Solve for x
    x = 16,432,953.13/4,586.05
  6. Step 6: Final answer
    x = 3,583.25

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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.