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Finding the Fourth Proportional to 5,707.55, 7,875.63 and 3,189.34

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Solution

The fourth proportional to 5,707.55, 7,875.63 and 3,189.34 is: 4,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.55 : 7,875.63 = 3,189.34 : x
  2. Step 2: Convert to fraction form
    5,707.55/7,875.63 = 3,189.34/x
  3. Step 3: Cross multiply
    5,707.55x = 7,875.63 × 3,189.34
  4. Step 4: Simplify right side
    5,707.55x = 25,118,061.78
  5. Step 5: Solve for x
    x = 25,118,061.78/5,707.55
  6. Step 6: Final answer
    x = 4,400.85

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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.