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Finding the Fourth Proportional to 4,172.50, 6,259.11 and 1,094.50

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Solution

The fourth proportional to 4,172.50, 6,259.11 and 1,094.50 is: 1,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.50 : 6,259.11 = 1,094.50 : x
  2. Step 2: Convert to fraction form
    4,172.50/6,259.11 = 1,094.50/x
  3. Step 3: Cross multiply
    4,172.50x = 6,259.11 × 1,094.50
  4. Step 4: Simplify right side
    4,172.50x = 6,850,595.90
  5. Step 5: Solve for x
    x = 6,850,595.90/4,172.50
  6. Step 6: Final answer
    x = 1,641.84

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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.