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Finding the Fourth Proportional to 4,567.30, 6,846.76 and 1,644.88

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Solution

The fourth proportional to 4,567.30, 6,846.76 and 1,644.88 is: 2,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.30 : 6,846.76 = 1,644.88 : x
  2. Step 2: Convert to fraction form
    4,567.30/6,846.76 = 1,644.88/x
  3. Step 3: Cross multiply
    4,567.30x = 6,846.76 × 1,644.88
  4. Step 4: Simplify right side
    4,567.30x = 11,262,098.59
  5. Step 5: Solve for x
    x = 11,262,098.59/4,567.30
  6. Step 6: Final answer
    x = 2,465.81

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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.