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Finding the Fourth Proportional to 3,656.72, 5,485.08 and 920.72

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Solution

The fourth proportional to 3,656.72, 5,485.08 and 920.72 is: 1,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.72 : 5,485.08 = 920.72 : x
  2. Step 2: Convert to fraction form
    3,656.72/5,485.08 = 920.72/x
  3. Step 3: Cross multiply
    3,656.72x = 5,485.08 × 920.72
  4. Step 4: Simplify right side
    3,656.72x = 5,050,222.86
  5. Step 5: Solve for x
    x = 5,050,222.86/3,656.72
  6. Step 6: Final answer
    x = 1,381.08

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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.