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Finding the Fourth Proportional to 5,707.96, 7,877.12 and 3,190.01

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Solution

The fourth proportional to 5,707.96, 7,877.12 and 3,190.01 is: 4,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.96 : 7,877.12 = 3,190.01 : x
  2. Step 2: Convert to fraction form
    5,707.96/7,877.12 = 3,190.01/x
  3. Step 3: Cross multiply
    5,707.96x = 7,877.12 × 3,190.01
  4. Step 4: Simplify right side
    5,707.96x = 25,128,036.24
  5. Step 5: Solve for x
    x = 25,128,036.24/5,707.96
  6. Step 6: Final answer
    x = 4,402.28

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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.