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Finding the Fourth Proportional to 5,707.30, 7,875.93 and 3,189.43

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Solution

The fourth proportional to 5,707.30, 7,875.93 and 3,189.43 is: 4,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.30 : 7,875.93 = 3,189.43 : x
  2. Step 2: Convert to fraction form
    5,707.30/7,875.93 = 3,189.43/x
  3. Step 3: Cross multiply
    5,707.30x = 7,875.93 × 3,189.43
  4. Step 4: Simplify right side
    5,707.30x = 25,119,711.47
  5. Step 5: Solve for x
    x = 25,119,711.47/5,707.30
  6. Step 6: Final answer
    x = 4,401.33

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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.