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Finding the Fourth Proportional to 4,772.40, 6,585 and 2,883.60

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Solution

The fourth proportional to 4,772.40, 6,585 and 2,883.60 is: 3,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.40 : 6,585 = 2,883.60 : x
  2. Step 2: Convert to fraction form
    4,772.40/6,585 = 2,883.60/x
  3. Step 3: Cross multiply
    4,772.40x = 6,585 × 2,883.60
  4. Step 4: Simplify right side
    4,772.40x = 18,988,506
  5. Step 5: Solve for x
    x = 18,988,506/4,772.40
  6. Step 6: Final answer
    x = 3,978.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.