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Finding the Fourth Proportional to 5,307.32, 7,961.04 and 1,844.60

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Solution

The fourth proportional to 5,307.32, 7,961.04 and 1,844.60 is: 2,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.32 : 7,961.04 = 1,844.60 : x
  2. Step 2: Convert to fraction form
    5,307.32/7,961.04 = 1,844.60/x
  3. Step 3: Cross multiply
    5,307.32x = 7,961.04 × 1,844.60
  4. Step 4: Simplify right side
    5,307.32x = 14,684,934.38
  5. Step 5: Solve for x
    x = 14,684,934.38/5,307.32
  6. Step 6: Final answer
    x = 2,766.92

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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.