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Finding the Fourth Proportional to 4,274.55, 5,902.95 and 4,041.58

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Solution

The fourth proportional to 4,274.55, 5,902.95 and 4,041.58 is: 5,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.55 : 5,902.95 = 4,041.58 : x
  2. Step 2: Convert to fraction form
    4,274.55/5,902.95 = 4,041.58/x
  3. Step 3: Cross multiply
    4,274.55x = 5,902.95 × 4,041.58
  4. Step 4: Simplify right side
    4,274.55x = 23,857,269.66
  5. Step 5: Solve for x
    x = 23,857,269.66/4,274.55
  6. Step 6: Final answer
    x = 5,581.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.