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Finding the Fourth Proportional to 4,560.16, 6,834.30 and 2,059.49

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Solution

The fourth proportional to 4,560.16, 6,834.30 and 2,059.49 is: 3,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.16 : 6,834.30 = 2,059.49 : x
  2. Step 2: Convert to fraction form
    4,560.16/6,834.30 = 2,059.49/x
  3. Step 3: Cross multiply
    4,560.16x = 6,834.30 × 2,059.49
  4. Step 4: Simplify right side
    4,560.16x = 14,075,172.51
  5. Step 5: Solve for x
    x = 14,075,172.51/4,560.16
  6. Step 6: Final answer
    x = 3,086.55

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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.