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Finding the Fourth Proportional to 4,532.90, 6,800.43 and 2,068.46

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Solution

The fourth proportional to 4,532.90, 6,800.43 and 2,068.46 is: 3,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.90 : 6,800.43 = 2,068.46 : x
  2. Step 2: Convert to fraction form
    4,532.90/6,800.43 = 2,068.46/x
  3. Step 3: Cross multiply
    4,532.90x = 6,800.43 × 2,068.46
  4. Step 4: Simplify right side
    4,532.90x = 14,066,417.44
  5. Step 5: Solve for x
    x = 14,066,417.44/4,532.90
  6. Step 6: Final answer
    x = 3,103.18

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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.