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Finding the Fourth Proportional to 5,046.65, 7,564.80 and 1,757.03

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Solution

The fourth proportional to 5,046.65, 7,564.80 and 1,757.03 is: 2,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.65 : 7,564.80 = 1,757.03 : x
  2. Step 2: Convert to fraction form
    5,046.65/7,564.80 = 1,757.03/x
  3. Step 3: Cross multiply
    5,046.65x = 7,564.80 × 1,757.03
  4. Step 4: Simplify right side
    5,046.65x = 13,291,580.54
  5. Step 5: Solve for x
    x = 13,291,580.54/5,046.65
  6. Step 6: Final answer
    x = 2,633.74

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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.