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Finding the Fourth Proportional to 4,369.67, 6,554.55 and 1,596.32

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Solution

The fourth proportional to 4,369.67, 6,554.55 and 1,596.32 is: 2,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369.67 : 6,554.55 = 1,596.32 : x
  2. Step 2: Convert to fraction form
    4,369.67/6,554.55 = 1,596.32/x
  3. Step 3: Cross multiply
    4,369.67x = 6,554.55 × 1,596.32
  4. Step 4: Simplify right side
    4,369.67x = 10,463,159.26
  5. Step 5: Solve for x
    x = 10,463,159.26/4,369.67
  6. Step 6: Final answer
    x = 2,394.50

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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.