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Finding the Fourth Proportional to 5,385.09, 7,429.14 and 3,288

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Solution

The fourth proportional to 5,385.09, 7,429.14 and 3,288 is: 4,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.09 : 7,429.14 = 3,288 : x
  2. Step 2: Convert to fraction form
    5,385.09/7,429.14 = 3,288/x
  3. Step 3: Cross multiply
    5,385.09x = 7,429.14 × 3,288
  4. Step 4: Simplify right side
    5,385.09x = 24,427,012.32
  5. Step 5: Solve for x
    x = 24,427,012.32/5,385.09
  6. Step 6: Final answer
    x = 4,536.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.