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Finding the Fourth Proportional to 4,582.39, 6,874.02 and 1,295.50

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Solution

The fourth proportional to 4,582.39, 6,874.02 and 1,295.50 is: 1,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.39 : 6,874.02 = 1,295.50 : x
  2. Step 2: Convert to fraction form
    4,582.39/6,874.02 = 1,295.50/x
  3. Step 3: Cross multiply
    4,582.39x = 6,874.02 × 1,295.50
  4. Step 4: Simplify right side
    4,582.39x = 8,905,292.91
  5. Step 5: Solve for x
    x = 8,905,292.91/4,582.39
  6. Step 6: Final answer
    x = 1,943.37

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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.