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Finding the Fourth Proportional to 5,154.10, 7,104.36 and 4,033.24

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Solution

The fourth proportional to 5,154.10, 7,104.36 and 4,033.24 is: 5,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.10 : 7,104.36 = 4,033.24 : x
  2. Step 2: Convert to fraction form
    5,154.10/7,104.36 = 4,033.24/x
  3. Step 3: Cross multiply
    5,154.10x = 7,104.36 × 4,033.24
  4. Step 4: Simplify right side
    5,154.10x = 28,653,588.93
  5. Step 5: Solve for x
    x = 28,653,588.93/5,154.10
  6. Step 6: Final answer
    x = 5,559.38

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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.