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Finding the Fourth Proportional to 5,582.41, 8,373.80 and 2,807.57

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Solution

The fourth proportional to 5,582.41, 8,373.80 and 2,807.57 is: 4,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.41 : 8,373.80 = 2,807.57 : x
  2. Step 2: Convert to fraction form
    5,582.41/8,373.80 = 2,807.57/x
  3. Step 3: Cross multiply
    5,582.41x = 8,373.80 × 2,807.57
  4. Step 4: Simplify right side
    5,582.41x = 23,510,018.28
  5. Step 5: Solve for x
    x = 23,510,018.28/5,582.41
  6. Step 6: Final answer
    x = 4,211.44

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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.