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Finding the Fourth Proportional to 4,609.36, 6,369.42 and 3,488.32

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Solution

The fourth proportional to 4,609.36, 6,369.42 and 3,488.32 is: 4,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.36 : 6,369.42 = 3,488.32 : x
  2. Step 2: Convert to fraction form
    4,609.36/6,369.42 = 3,488.32/x
  3. Step 3: Cross multiply
    4,609.36x = 6,369.42 × 3,488.32
  4. Step 4: Simplify right side
    4,609.36x = 22,218,575.17
  5. Step 5: Solve for x
    x = 22,218,575.17/4,609.36
  6. Step 6: Final answer
    x = 4,820.32

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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.