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Finding the Fourth Proportional to 3,420.92, 4,723.98 and 2,580.19

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Solution

The fourth proportional to 3,420.92, 4,723.98 and 2,580.19 is: 3,563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.92 : 4,723.98 = 2,580.19 : x
  2. Step 2: Convert to fraction form
    3,420.92/4,723.98 = 2,580.19/x
  3. Step 3: Cross multiply
    3,420.92x = 4,723.98 × 2,580.19
  4. Step 4: Simplify right side
    3,420.92x = 12,188,742.34
  5. Step 5: Solve for x
    x = 12,188,742.34/3,420.92
  6. Step 6: Final answer
    x = 3,563.00

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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.