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Finding the Fourth Proportional to 3,133.68, 4,270.56 and 3,122.16

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Solution

The fourth proportional to 3,133.68, 4,270.56 and 3,122.16 is: 4,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.68 : 4,270.56 = 3,122.16 : x
  2. Step 2: Convert to fraction form
    3,133.68/4,270.56 = 3,122.16/x
  3. Step 3: Cross multiply
    3,133.68x = 4,270.56 × 3,122.16
  4. Step 4: Simplify right side
    3,133.68x = 13,333,371.61
  5. Step 5: Solve for x
    x = 13,333,371.61/3,133.68
  6. Step 6: Final answer
    x = 4,254.86

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.