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Finding the Fourth Proportional to 3,875.25, 5,812.92 and 953.55

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Solution

The fourth proportional to 3,875.25, 5,812.92 and 953.55 is: 1,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.25 : 5,812.92 = 953.55 : x
  2. Step 2: Convert to fraction form
    3,875.25/5,812.92 = 953.55/x
  3. Step 3: Cross multiply
    3,875.25x = 5,812.92 × 953.55
  4. Step 4: Simplify right side
    3,875.25x = 5,542,909.87
  5. Step 5: Solve for x
    x = 5,542,909.87/3,875.25
  6. Step 6: Final answer
    x = 1,430.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.