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Finding the Fourth Proportional to 5,479.54, 8,218.11 and 1,583.10

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Solution

The fourth proportional to 5,479.54, 8,218.11 and 1,583.10 is: 2,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,479.54 : 8,218.11 = 1,583.10 : x
  2. Step 2: Convert to fraction form
    5,479.54/8,218.11 = 1,583.10/x
  3. Step 3: Cross multiply
    5,479.54x = 8,218.11 × 1,583.10
  4. Step 4: Simplify right side
    5,479.54x = 13,010,089.94
  5. Step 5: Solve for x
    x = 13,010,089.94/5,479.54
  6. Step 6: Final answer
    x = 2,374.30

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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.