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Finding the Fourth Proportional to 3,425.80, 5,139.12 and 1,477.60

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Solution

The fourth proportional to 3,425.80, 5,139.12 and 1,477.60 is: 2,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.80 : 5,139.12 = 1,477.60 : x
  2. Step 2: Convert to fraction form
    3,425.80/5,139.12 = 1,477.60/x
  3. Step 3: Cross multiply
    3,425.80x = 5,139.12 × 1,477.60
  4. Step 4: Simplify right side
    3,425.80x = 7,593,563.71
  5. Step 5: Solve for x
    x = 7,593,563.71/3,425.80
  6. Step 6: Final answer
    x = 2,216.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.