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Finding the Fourth Proportional to 5,608.82, 8,412.91 and 1,504.50

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Solution

The fourth proportional to 5,608.82, 8,412.91 and 1,504.50 is: 2,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.82 : 8,412.91 = 1,504.50 : x
  2. Step 2: Convert to fraction form
    5,608.82/8,412.91 = 1,504.50/x
  3. Step 3: Cross multiply
    5,608.82x = 8,412.91 × 1,504.50
  4. Step 4: Simplify right side
    5,608.82x = 12,657,223.10
  5. Step 5: Solve for x
    x = 12,657,223.10/5,608.82
  6. Step 6: Final answer
    x = 2,256.66

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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.