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Finding the Fourth Proportional to 4,517.34, 6,775.20 and 2,051.58

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Solution

The fourth proportional to 4,517.34, 6,775.20 and 2,051.58 is: 3,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.34 : 6,775.20 = 2,051.58 : x
  2. Step 2: Convert to fraction form
    4,517.34/6,775.20 = 2,051.58/x
  3. Step 3: Cross multiply
    4,517.34x = 6,775.20 × 2,051.58
  4. Step 4: Simplify right side
    4,517.34x = 13,899,864.82
  5. Step 5: Solve for x
    x = 13,899,864.82/4,517.34
  6. Step 6: Final answer
    x = 3,077.00

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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.