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Finding the Fourth Proportional to 3,708.90, 5,564.43 and 1,758.42

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Solution

The fourth proportional to 3,708.90, 5,564.43 and 1,758.42 is: 2,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.90 : 5,564.43 = 1,758.42 : x
  2. Step 2: Convert to fraction form
    3,708.90/5,564.43 = 1,758.42/x
  3. Step 3: Cross multiply
    3,708.90x = 5,564.43 × 1,758.42
  4. Step 4: Simplify right side
    3,708.90x = 9,784,605.00
  5. Step 5: Solve for x
    x = 9,784,605.00/3,708.90
  6. Step 6: Final answer
    x = 2,638.14

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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.