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Finding the Fourth Proportional to 2,914.56, 4,352.64 and 2,592

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Solution

The fourth proportional to 2,914.56, 4,352.64 and 2,592 is: 3,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.56 : 4,352.64 = 2,592 : x
  2. Step 2: Convert to fraction form
    2,914.56/4,352.64 = 2,592/x
  3. Step 3: Cross multiply
    2,914.56x = 4,352.64 × 2,592
  4. Step 4: Simplify right side
    2,914.56x = 11,282,042.88
  5. Step 5: Solve for x
    x = 11,282,042.88/2,914.56
  6. Step 6: Final answer
    x = 3,870.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.