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Finding the Fourth Proportional to 5,203.96, 7,803.42 and 1,740.04

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Solution

The fourth proportional to 5,203.96, 7,803.42 and 1,740.04 is: 2,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.96 : 7,803.42 = 1,740.04 : x
  2. Step 2: Convert to fraction form
    5,203.96/7,803.42 = 1,740.04/x
  3. Step 3: Cross multiply
    5,203.96x = 7,803.42 × 1,740.04
  4. Step 4: Simplify right side
    5,203.96x = 13,578,262.94
  5. Step 5: Solve for x
    x = 13,578,262.94/5,203.96
  6. Step 6: Final answer
    x = 2,609.22

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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.