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Finding the Fourth Proportional to 3,409.78, 5,109.72 and 1,848.46

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Solution

The fourth proportional to 3,409.78, 5,109.72 and 1,848.46 is: 2,770.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.78 : 5,109.72 = 1,848.46 : x
  2. Step 2: Convert to fraction form
    3,409.78/5,109.72 = 1,848.46/x
  3. Step 3: Cross multiply
    3,409.78x = 5,109.72 × 1,848.46
  4. Step 4: Simplify right side
    3,409.78x = 9,445,113.03
  5. Step 5: Solve for x
    x = 9,445,113.03/3,409.78
  6. Step 6: Final answer
    x = 2,770.01

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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.