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Finding the Fourth Proportional to 3,582.57, 5,373.82 and 1,117.41

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Solution

The fourth proportional to 3,582.57, 5,373.82 and 1,117.41 is: 1,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.57 : 5,373.82 = 1,117.41 : x
  2. Step 2: Convert to fraction form
    3,582.57/5,373.82 = 1,117.41/x
  3. Step 3: Cross multiply
    3,582.57x = 5,373.82 × 1,117.41
  4. Step 4: Simplify right side
    3,582.57x = 6,004,760.21
  5. Step 5: Solve for x
    x = 6,004,760.21/3,582.57
  6. Step 6: Final answer
    x = 1,676.10

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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.