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Finding the Fourth Proportional to 5,582.69, 8,374.22 and 2,807.84

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Solution

The fourth proportional to 5,582.69, 8,374.22 and 2,807.84 is: 4,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.69 : 8,374.22 = 2,807.84 : x
  2. Step 2: Convert to fraction form
    5,582.69/8,374.22 = 2,807.84/x
  3. Step 3: Cross multiply
    5,582.69x = 8,374.22 × 2,807.84
  4. Step 4: Simplify right side
    5,582.69x = 23,513,487.31
  5. Step 5: Solve for x
    x = 23,513,487.31/5,582.69
  6. Step 6: Final answer
    x = 4,211.86

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1.5x scale

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.