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Finding the Fourth Proportional to 5,372.80, 7,415.40 and 3,136

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Solution

The fourth proportional to 5,372.80, 7,415.40 and 3,136 is: 4,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.80 : 7,415.40 = 3,136 : x
  2. Step 2: Convert to fraction form
    5,372.80/7,415.40 = 3,136/x
  3. Step 3: Cross multiply
    5,372.80x = 7,415.40 × 3,136
  4. Step 4: Simplify right side
    5,372.80x = 23,254,694.40
  5. Step 5: Solve for x
    x = 23,254,694.40/5,372.80
  6. Step 6: Final answer
    x = 4,328.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.