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Finding the Fourth Proportional to 3,577.14, 5,368.14 and 3,549.87

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Solution

The fourth proportional to 3,577.14, 5,368.14 and 3,549.87 is: 5,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.14 : 5,368.14 = 3,549.87 : x
  2. Step 2: Convert to fraction form
    3,577.14/5,368.14 = 3,549.87/x
  3. Step 3: Cross multiply
    3,577.14x = 5,368.14 × 3,549.87
  4. Step 4: Simplify right side
    3,577.14x = 19,056,199.14
  5. Step 5: Solve for x
    x = 19,056,199.14/3,577.14
  6. Step 6: Final answer
    x = 5,327.22

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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.