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Finding the Fourth Proportional to 4,384.57, 6,572.91 and 1,609.33

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Solution

The fourth proportional to 4,384.57, 6,572.91 and 1,609.33 is: 2,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.57 : 6,572.91 = 1,609.33 : x
  2. Step 2: Convert to fraction form
    4,384.57/6,572.91 = 1,609.33/x
  3. Step 3: Cross multiply
    4,384.57x = 6,572.91 × 1,609.33
  4. Step 4: Simplify right side
    4,384.57x = 10,577,981.25
  5. Step 5: Solve for x
    x = 10,577,981.25/4,384.57
  6. Step 6: Final answer
    x = 2,412.55

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