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Finding the Fourth Proportional to 5,582.52, 8,364.06 and 4,124.52

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Solution

The fourth proportional to 5,582.52, 8,364.06 and 4,124.52 is: 6,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.52 : 8,364.06 = 4,124.52 : x
  2. Step 2: Convert to fraction form
    5,582.52/8,364.06 = 4,124.52/x
  3. Step 3: Cross multiply
    5,582.52x = 8,364.06 × 4,124.52
  4. Step 4: Simplify right side
    5,582.52x = 34,497,732.75
  5. Step 5: Solve for x
    x = 34,497,732.75/5,582.52
  6. Step 6: Final answer
    x = 6,179.60

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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.