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Finding the Fourth Proportional to 5,705.96, 7,871.80 and 3,580.04

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Solution

The fourth proportional to 5,705.96, 7,871.80 and 3,580.04 is: 4,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.96 : 7,871.80 = 3,580.04 : x
  2. Step 2: Convert to fraction form
    5,705.96/7,871.80 = 3,580.04/x
  3. Step 3: Cross multiply
    5,705.96x = 7,871.80 × 3,580.04
  4. Step 4: Simplify right side
    5,705.96x = 28,181,358.87
  5. Step 5: Solve for x
    x = 28,181,358.87/5,705.96
  6. Step 6: Final answer
    x = 4,938.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.