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Finding the Fourth Proportional to 3,521.27, 5,281.49 and 924.41

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Solution

The fourth proportional to 3,521.27, 5,281.49 and 924.41 is: 1,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.27 : 5,281.49 = 924.41 : x
  2. Step 2: Convert to fraction form
    3,521.27/5,281.49 = 924.41/x
  3. Step 3: Cross multiply
    3,521.27x = 5,281.49 × 924.41
  4. Step 4: Simplify right side
    3,521.27x = 4,882,231.14
  5. Step 5: Solve for x
    x = 4,882,231.14/3,521.27
  6. Step 6: Final answer
    x = 1,386.50

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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.