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Finding the Fourth Proportional to 3,521.92, 5,283.16 and 924.84

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Solution

The fourth proportional to 3,521.92, 5,283.16 and 924.84 is: 1,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.92 : 5,283.16 = 924.84 : x
  2. Step 2: Convert to fraction form
    3,521.92/5,283.16 = 924.84/x
  3. Step 3: Cross multiply
    3,521.92x = 5,283.16 × 924.84
  4. Step 4: Simplify right side
    3,521.92x = 4,886,077.69
  5. Step 5: Solve for x
    x = 4,886,077.69/3,521.92
  6. Step 6: Final answer
    x = 1,387.33

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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.