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Finding the Fourth Proportional to 4,483.50, 6,725.27 and 1,561.11

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Solution

The fourth proportional to 4,483.50, 6,725.27 and 1,561.11 is: 2,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.50 : 6,725.27 = 1,561.11 : x
  2. Step 2: Convert to fraction form
    4,483.50/6,725.27 = 1,561.11/x
  3. Step 3: Cross multiply
    4,483.50x = 6,725.27 × 1,561.11
  4. Step 4: Simplify right side
    4,483.50x = 10,498,886.25
  5. Step 5: Solve for x
    x = 10,498,886.25/4,483.50
  6. Step 6: Final answer
    x = 2,341.67

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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.