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Finding the Fourth Proportional to 5,637.84, 8,449.14 and 3,004.92

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Solution

The fourth proportional to 5,637.84, 8,449.14 and 3,004.92 is: 4,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.84 : 8,449.14 = 3,004.92 : x
  2. Step 2: Convert to fraction form
    5,637.84/8,449.14 = 3,004.92/x
  3. Step 3: Cross multiply
    5,637.84x = 8,449.14 × 3,004.92
  4. Step 4: Simplify right side
    5,637.84x = 25,388,989.77
  5. Step 5: Solve for x
    x = 25,388,989.77/5,637.84
  6. Step 6: Final answer
    x = 4,503.32

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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.