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Finding the Fourth Proportional to 4,573.76, 6,312.70 and 2,584.34

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Solution

The fourth proportional to 4,573.76, 6,312.70 and 2,584.34 is: 3,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.76 : 6,312.70 = 2,584.34 : x
  2. Step 2: Convert to fraction form
    4,573.76/6,312.70 = 2,584.34/x
  3. Step 3: Cross multiply
    4,573.76x = 6,312.70 × 2,584.34
  4. Step 4: Simplify right side
    4,573.76x = 16,314,163.12
  5. Step 5: Solve for x
    x = 16,314,163.12/4,573.76
  6. Step 6: Final answer
    x = 3,566.90

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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.