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Finding the Fourth Proportional to 3,577.21, 5,337.17 and 3,114.29

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Solution

The fourth proportional to 3,577.21, 5,337.17 and 3,114.29 is: 4,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.21 : 5,337.17 = 3,114.29 : x
  2. Step 2: Convert to fraction form
    3,577.21/5,337.17 = 3,114.29/x
  3. Step 3: Cross multiply
    3,577.21x = 5,337.17 × 3,114.29
  4. Step 4: Simplify right side
    3,577.21x = 16,621,495.16
  5. Step 5: Solve for x
    x = 16,621,495.16/3,577.21
  6. Step 6: Final answer
    x = 4,646.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.