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Finding the Fourth Proportional to 5,379.71, 8,069.35 and 1,484.01

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Solution

The fourth proportional to 5,379.71, 8,069.35 and 1,484.01 is: 2,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.71 : 8,069.35 = 1,484.01 : x
  2. Step 2: Convert to fraction form
    5,379.71/8,069.35 = 1,484.01/x
  3. Step 3: Cross multiply
    5,379.71x = 8,069.35 × 1,484.01
  4. Step 4: Simplify right side
    5,379.71x = 11,974,996.09
  5. Step 5: Solve for x
    x = 11,974,996.09/5,379.71
  6. Step 6: Final answer
    x = 2,225.96

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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.