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Finding the Fourth Proportional to 5,202, 7,803.84 and 1,740.06

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Solution

The fourth proportional to 5,202, 7,803.84 and 1,740.06 is: 2,610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 7,803.84 = 1,740.06 : x
  2. Step 2: Convert to fraction form
    5,202/7,803.84 = 1,740.06/x
  3. Step 3: Cross multiply
    5,202x = 7,803.84 × 1,740.06
  4. Step 4: Simplify right side
    5,202x = 13,579,149.83
  5. Step 5: Solve for x
    x = 13,579,149.83/5,202
  6. Step 6: Final answer
    x = 2,610.37

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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.