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Finding the Fourth Proportional to 4,123.53, 6,186.06 and 1,352.16

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Solution

The fourth proportional to 4,123.53, 6,186.06 and 1,352.16 is: 2,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.53 : 6,186.06 = 1,352.16 : x
  2. Step 2: Convert to fraction form
    4,123.53/6,186.06 = 1,352.16/x
  3. Step 3: Cross multiply
    4,123.53x = 6,186.06 × 1,352.16
  4. Step 4: Simplify right side
    4,123.53x = 8,364,542.89
  5. Step 5: Solve for x
    x = 8,364,542.89/4,123.53
  6. Step 6: Final answer
    x = 2,028.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.