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Finding the Fourth Proportional to 3,582.67, 5,373.74 and 950.11

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Solution

The fourth proportional to 3,582.67, 5,373.74 and 950.11 is: 1,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.67 : 5,373.74 = 950.11 : x
  2. Step 2: Convert to fraction form
    3,582.67/5,373.74 = 950.11/x
  3. Step 3: Cross multiply
    3,582.67x = 5,373.74 × 950.11
  4. Step 4: Simplify right side
    3,582.67x = 5,105,644.11
  5. Step 5: Solve for x
    x = 5,105,644.11/3,582.67
  6. Step 6: Final answer
    x = 1,425.10

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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.