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Finding the Fourth Proportional to 4,047.68, 6,073.05 and 1,584.26

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Solution

The fourth proportional to 4,047.68, 6,073.05 and 1,584.26 is: 2,376.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.68 : 6,073.05 = 1,584.26 : x
  2. Step 2: Convert to fraction form
    4,047.68/6,073.05 = 1,584.26/x
  3. Step 3: Cross multiply
    4,047.68x = 6,073.05 × 1,584.26
  4. Step 4: Simplify right side
    4,047.68x = 9,621,290.19
  5. Step 5: Solve for x
    x = 9,621,290.19/4,047.68
  6. Step 6: Final answer
    x = 2,376.99

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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.