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Finding the Fourth Proportional to 3,583.05, 5,374.52 and 1,117.89

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Solution

The fourth proportional to 3,583.05, 5,374.52 and 1,117.89 is: 1,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.05 : 5,374.52 = 1,117.89 : x
  2. Step 2: Convert to fraction form
    3,583.05/5,374.52 = 1,117.89/x
  3. Step 3: Cross multiply
    3,583.05x = 5,374.52 × 1,117.89
  4. Step 4: Simplify right side
    3,583.05x = 6,008,122.16
  5. Step 5: Solve for x
    x = 6,008,122.16/3,583.05
  6. Step 6: Final answer
    x = 1,676.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.