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Finding the Fourth Proportional to 4,582.70, 6,874.03 and 1,504.70

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Solution

The fourth proportional to 4,582.70, 6,874.03 and 1,504.70 is: 2,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.70 : 6,874.03 = 1,504.70 : x
  2. Step 2: Convert to fraction form
    4,582.70/6,874.03 = 1,504.70/x
  3. Step 3: Cross multiply
    4,582.70x = 6,874.03 × 1,504.70
  4. Step 4: Simplify right side
    4,582.70x = 10,343,352.94
  5. Step 5: Solve for x
    x = 10,343,352.94/4,582.70
  6. Step 6: Final answer
    x = 2,257.04

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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.