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Finding the Fourth Proportional to 7,052.40, 10,582.92 and 2,894.40

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Solution

The fourth proportional to 7,052.40, 10,582.92 and 2,894.40 is: 4,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.40 : 10,582.92 = 2,894.40 : x
  2. Step 2: Convert to fraction form
    7,052.40/10,582.92 = 2,894.40/x
  3. Step 3: Cross multiply
    7,052.40x = 10,582.92 × 2,894.40
  4. Step 4: Simplify right side
    7,052.40x = 30,631,203.65
  5. Step 5: Solve for x
    x = 30,631,203.65/7,052.40
  6. Step 6: Final answer
    x = 4,343.37

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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.