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Finding the Fourth Proportional to 4,525.34, 6,787.68 and 1,405.26

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Solution

The fourth proportional to 4,525.34, 6,787.68 and 1,405.26 is: 2,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,525.34 : 6,787.68 = 1,405.26 : x
  2. Step 2: Convert to fraction form
    4,525.34/6,787.68 = 1,405.26/x
  3. Step 3: Cross multiply
    4,525.34x = 6,787.68 × 1,405.26
  4. Step 4: Simplify right side
    4,525.34x = 9,538,472.17
  5. Step 5: Solve for x
    x = 9,538,472.17/4,525.34
  6. Step 6: Final answer
    x = 2,107.79

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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.