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Finding the Fourth Proportional to 3,478.01, 5,188.14 and 3,265.81

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Solution

The fourth proportional to 3,478.01, 5,188.14 and 3,265.81 is: 4,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.01 : 5,188.14 = 3,265.81 : x
  2. Step 2: Convert to fraction form
    3,478.01/5,188.14 = 3,265.81/x
  3. Step 3: Cross multiply
    3,478.01x = 5,188.14 × 3,265.81
  4. Step 4: Simplify right side
    3,478.01x = 16,943,475.30
  5. Step 5: Solve for x
    x = 16,943,475.30/3,478.01
  6. Step 6: Final answer
    x = 4,871.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.