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Finding the Fourth Proportional to 5,707.17, 7,875.61 and 3,188.79

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Solution

The fourth proportional to 5,707.17, 7,875.61 and 3,188.79 is: 4,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.17 : 7,875.61 = 3,188.79 : x
  2. Step 2: Convert to fraction form
    5,707.17/7,875.61 = 3,188.79/x
  3. Step 3: Cross multiply
    5,707.17x = 7,875.61 × 3,188.79
  4. Step 4: Simplify right side
    5,707.17x = 25,113,658.44
  5. Step 5: Solve for x
    x = 25,113,658.44/5,707.17
  6. Step 6: Final answer
    x = 4,400.37

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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.