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Finding the Fourth Proportional to 4,553.56, 6,830.10 and 1,475.32

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Solution

The fourth proportional to 4,553.56, 6,830.10 and 1,475.32 is: 2,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.56 : 6,830.10 = 1,475.32 : x
  2. Step 2: Convert to fraction form
    4,553.56/6,830.10 = 1,475.32/x
  3. Step 3: Cross multiply
    4,553.56x = 6,830.10 × 1,475.32
  4. Step 4: Simplify right side
    4,553.56x = 10,076,583.13
  5. Step 5: Solve for x
    x = 10,076,583.13/4,553.56
  6. Step 6: Final answer
    x = 2,212.90

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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.