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Finding the Fourth Proportional to 3,035.60, 4,206.72 and 2,977.28

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Solution

The fourth proportional to 3,035.60, 4,206.72 and 2,977.28 is: 4,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.60 : 4,206.72 = 2,977.28 : x
  2. Step 2: Convert to fraction form
    3,035.60/4,206.72 = 2,977.28/x
  3. Step 3: Cross multiply
    3,035.60x = 4,206.72 × 2,977.28
  4. Step 4: Simplify right side
    3,035.60x = 12,524,583.32
  5. Step 5: Solve for x
    x = 12,524,583.32/3,035.60
  6. Step 6: Final answer
    x = 4,125.90

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.