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Finding the Fourth Proportional to 3,577.52, 5,365.67 and 945.05

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Solution

The fourth proportional to 3,577.52, 5,365.67 and 945.05 is: 1,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.52 : 5,365.67 = 945.05 : x
  2. Step 2: Convert to fraction form
    3,577.52/5,365.67 = 945.05/x
  3. Step 3: Cross multiply
    3,577.52x = 5,365.67 × 945.05
  4. Step 4: Simplify right side
    3,577.52x = 5,070,827.72
  5. Step 5: Solve for x
    x = 5,070,827.72/3,577.52
  6. Step 6: Final answer
    x = 1,417.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.