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Finding the Fourth Proportional to 5,403.58, 7,452.09 and 4,609.77

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Solution

The fourth proportional to 5,403.58, 7,452.09 and 4,609.77 is: 6,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.58 : 7,452.09 = 4,609.77 : x
  2. Step 2: Convert to fraction form
    5,403.58/7,452.09 = 4,609.77/x
  3. Step 3: Cross multiply
    5,403.58x = 7,452.09 × 4,609.77
  4. Step 4: Simplify right side
    5,403.58x = 34,352,432.44
  5. Step 5: Solve for x
    x = 34,352,432.44/5,403.58
  6. Step 6: Final answer
    x = 6,357.34

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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.