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Finding the Fourth Proportional to 5,104.50, 7,657.19 and 1,407.03

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Solution

The fourth proportional to 5,104.50, 7,657.19 and 1,407.03 is: 2,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.50 : 7,657.19 = 1,407.03 : x
  2. Step 2: Convert to fraction form
    5,104.50/7,657.19 = 1,407.03/x
  3. Step 3: Cross multiply
    5,104.50x = 7,657.19 × 1,407.03
  4. Step 4: Simplify right side
    5,104.50x = 10,773,889.01
  5. Step 5: Solve for x
    x = 10,773,889.01/5,104.50
  6. Step 6: Final answer
    x = 2,110.66

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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.