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Finding the Fourth Proportional to 3,665.79, 5,498.04 and 1,033.05

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Solution

The fourth proportional to 3,665.79, 5,498.04 and 1,033.05 is: 1,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.79 : 5,498.04 = 1,033.05 : x
  2. Step 2: Convert to fraction form
    3,665.79/5,498.04 = 1,033.05/x
  3. Step 3: Cross multiply
    3,665.79x = 5,498.04 × 1,033.05
  4. Step 4: Simplify right side
    3,665.79x = 5,679,750.22
  5. Step 5: Solve for x
    x = 5,679,750.22/3,665.79
  6. Step 6: Final answer
    x = 1,549.39

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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.