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Finding the Fourth Proportional to 4,573.60, 6,311.76 and 2,584.24

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Solution

The fourth proportional to 4,573.60, 6,311.76 and 2,584.24 is: 3,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.60 : 6,311.76 = 2,584.24 : x
  2. Step 2: Convert to fraction form
    4,573.60/6,311.76 = 2,584.24/x
  3. Step 3: Cross multiply
    4,573.60x = 6,311.76 × 2,584.24
  4. Step 4: Simplify right side
    4,573.60x = 16,311,102.66
  5. Step 5: Solve for x
    x = 16,311,102.66/4,573.60
  6. Step 6: Final answer
    x = 3,566.36

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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.