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Finding the Fourth Proportional to 5,652.65, 8,480.26 and 1,853.50

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Solution

The fourth proportional to 5,652.65, 8,480.26 and 1,853.50 is: 2,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.65 : 8,480.26 = 1,853.50 : x
  2. Step 2: Convert to fraction form
    5,652.65/8,480.26 = 1,853.50/x
  3. Step 3: Cross multiply
    5,652.65x = 8,480.26 × 1,853.50
  4. Step 4: Simplify right side
    5,652.65x = 15,718,143.20
  5. Step 5: Solve for x
    x = 15,718,143.20/5,652.65
  6. Step 6: Final answer
    x = 2,780.67

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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.