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Finding the Fourth Proportional to 5,436.32, 7,500.33 and 3,045.94

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Solution

The fourth proportional to 5,436.32, 7,500.33 and 3,045.94 is: 4,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.32 : 7,500.33 = 3,045.94 : x
  2. Step 2: Convert to fraction form
    5,436.32/7,500.33 = 3,045.94/x
  3. Step 3: Cross multiply
    5,436.32x = 7,500.33 × 3,045.94
  4. Step 4: Simplify right side
    5,436.32x = 22,845,536.41
  5. Step 5: Solve for x
    x = 22,845,536.41/5,436.32
  6. Step 6: Final answer
    x = 4,202.39

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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.