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Finding the Fourth Proportional to 3,437, 5,176.23 and 3,051.88

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Solution

The fourth proportional to 3,437, 5,176.23 and 3,051.88 is: 4,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437 : 5,176.23 = 3,051.88 : x
  2. Step 2: Convert to fraction form
    3,437/5,176.23 = 3,051.88/x
  3. Step 3: Cross multiply
    3,437x = 5,176.23 × 3,051.88
  4. Step 4: Simplify right side
    3,437x = 15,797,232.81
  5. Step 5: Solve for x
    x = 15,797,232.81/3,437
  6. Step 6: Final answer
    x = 4,596.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.