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Finding the Fourth Proportional to 3,219.64, 4,830.37 and 1,140.17

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Solution

The fourth proportional to 3,219.64, 4,830.37 and 1,140.17 is: 1,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.64 : 4,830.37 = 1,140.17 : x
  2. Step 2: Convert to fraction form
    3,219.64/4,830.37 = 1,140.17/x
  3. Step 3: Cross multiply
    3,219.64x = 4,830.37 × 1,140.17
  4. Step 4: Simplify right side
    3,219.64x = 5,507,415.96
  5. Step 5: Solve for x
    x = 5,507,415.96/3,219.64
  6. Step 6: Final answer
    x = 1,710.57

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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.