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Finding the Fourth Proportional to 4,586.31, 6,328.04 and 2,596.46

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Solution

The fourth proportional to 4,586.31, 6,328.04 and 2,596.46 is: 3,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.31 : 6,328.04 = 2,596.46 : x
  2. Step 2: Convert to fraction form
    4,586.31/6,328.04 = 2,596.46/x
  3. Step 3: Cross multiply
    4,586.31x = 6,328.04 × 2,596.46
  4. Step 4: Simplify right side
    4,586.31x = 16,430,458.12
  5. Step 5: Solve for x
    x = 16,430,458.12/4,586.31
  6. Step 6: Final answer
    x = 3,582.50

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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.