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Finding the Fourth Proportional to 4,856.88, 7,284.90 and 2,907.60

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Solution

The fourth proportional to 4,856.88, 7,284.90 and 2,907.60 is: 4,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.88 : 7,284.90 = 2,907.60 : x
  2. Step 2: Convert to fraction form
    4,856.88/7,284.90 = 2,907.60/x
  3. Step 3: Cross multiply
    4,856.88x = 7,284.90 × 2,907.60
  4. Step 4: Simplify right side
    4,856.88x = 21,181,575.24
  5. Step 5: Solve for x
    x = 21,181,575.24/4,856.88
  6. Step 6: Final answer
    x = 4,361.15

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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.