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Finding the Fourth Proportional to 3,833.60, 5,741.88 and 3,740.48

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Solution

The fourth proportional to 3,833.60, 5,741.88 and 3,740.48 is: 5,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.60 : 5,741.88 = 3,740.48 : x
  2. Step 2: Convert to fraction form
    3,833.60/5,741.88 = 3,740.48/x
  3. Step 3: Cross multiply
    3,833.60x = 5,741.88 × 3,740.48
  4. Step 4: Simplify right side
    3,833.60x = 21,477,387.30
  5. Step 5: Solve for x
    x = 21,477,387.30/3,833.60
  6. Step 6: Final answer
    x = 5,602.41

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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.