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Finding the Fourth Proportional to 5,042.85, 7,564.30 and 1,755.93

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Solution

The fourth proportional to 5,042.85, 7,564.30 and 1,755.93 is: 2,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.85 : 7,564.30 = 1,755.93 : x
  2. Step 2: Convert to fraction form
    5,042.85/7,564.30 = 1,755.93/x
  3. Step 3: Cross multiply
    5,042.85x = 7,564.30 × 1,755.93
  4. Step 4: Simplify right side
    5,042.85x = 13,282,372.60
  5. Step 5: Solve for x
    x = 13,282,372.60/5,042.85
  6. Step 6: Final answer
    x = 2,633.90

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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.