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Finding the Fourth Proportional to 3,729.12, 5,590.80 and 3,084

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Solution

The fourth proportional to 3,729.12, 5,590.80 and 3,084 is: 4,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.12 : 5,590.80 = 3,084 : x
  2. Step 2: Convert to fraction form
    3,729.12/5,590.80 = 3,084/x
  3. Step 3: Cross multiply
    3,729.12x = 5,590.80 × 3,084
  4. Step 4: Simplify right side
    3,729.12x = 17,242,027.20
  5. Step 5: Solve for x
    x = 17,242,027.20/3,729.12
  6. Step 6: Final answer
    x = 4,623.62

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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.