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Finding the Fourth Proportional to 3,859.10, 5,788.65 and 1,262.30

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Solution

The fourth proportional to 3,859.10, 5,788.65 and 1,262.30 is: 1,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.10 : 5,788.65 = 1,262.30 : x
  2. Step 2: Convert to fraction form
    3,859.10/5,788.65 = 1,262.30/x
  3. Step 3: Cross multiply
    3,859.10x = 5,788.65 × 1,262.30
  4. Step 4: Simplify right side
    3,859.10x = 7,307,012.90
  5. Step 5: Solve for x
    x = 7,307,012.90/3,859.10
  6. Step 6: Final answer
    x = 1,893.45

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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.