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Finding the Fourth Proportional to 3,841.16, 5,756.86 and 1,647.32

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Solution

The fourth proportional to 3,841.16, 5,756.86 and 1,647.32 is: 2,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.16 : 5,756.86 = 1,647.32 : x
  2. Step 2: Convert to fraction form
    3,841.16/5,756.86 = 1,647.32/x
  3. Step 3: Cross multiply
    3,841.16x = 5,756.86 × 1,647.32
  4. Step 4: Simplify right side
    3,841.16x = 9,483,390.62
  5. Step 5: Solve for x
    x = 9,483,390.62/3,841.16
  6. Step 6: Final answer
    x = 2,468.89

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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.