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Finding the Fourth Proportional to 5,256.28, 7,254.93 and 3,160

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Solution

The fourth proportional to 5,256.28, 7,254.93 and 3,160 is: 4,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.28 : 7,254.93 = 3,160 : x
  2. Step 2: Convert to fraction form
    5,256.28/7,254.93 = 3,160/x
  3. Step 3: Cross multiply
    5,256.28x = 7,254.93 × 3,160
  4. Step 4: Simplify right side
    5,256.28x = 22,925,578.80
  5. Step 5: Solve for x
    x = 22,925,578.80/5,256.28
  6. Step 6: Final answer
    x = 4,361.56

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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.