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Finding the Fourth Proportional to 4,363.50, 6,546.29 and 3,140.16

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Solution

The fourth proportional to 4,363.50, 6,546.29 and 3,140.16 is: 4,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.50 : 6,546.29 = 3,140.16 : x
  2. Step 2: Convert to fraction form
    4,363.50/6,546.29 = 3,140.16/x
  3. Step 3: Cross multiply
    4,363.50x = 6,546.29 × 3,140.16
  4. Step 4: Simplify right side
    4,363.50x = 20,556,357.76
  5. Step 5: Solve for x
    x = 20,556,357.76/4,363.50
  6. Step 6: Final answer
    x = 4,710.98

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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.