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Finding the Fourth Proportional to 5,606.96, 8,406.76 and 3,142.04

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Solution

The fourth proportional to 5,606.96, 8,406.76 and 3,142.04 is: 4,711.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.96 : 8,406.76 = 3,142.04 : x
  2. Step 2: Convert to fraction form
    5,606.96/8,406.76 = 3,142.04/x
  3. Step 3: Cross multiply
    5,606.96x = 8,406.76 × 3,142.04
  4. Step 4: Simplify right side
    5,606.96x = 26,414,376.19
  5. Step 5: Solve for x
    x = 26,414,376.19/5,606.96
  6. Step 6: Final answer
    x = 4,711.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.