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Finding the Fourth Proportional to 5,359.76, 8,038.72 and 1,611.48

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Solution

The fourth proportional to 5,359.76, 8,038.72 and 1,611.48 is: 2,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.76 : 8,038.72 = 1,611.48 : x
  2. Step 2: Convert to fraction form
    5,359.76/8,038.72 = 1,611.48/x
  3. Step 3: Cross multiply
    5,359.76x = 8,038.72 × 1,611.48
  4. Step 4: Simplify right side
    5,359.76x = 12,954,236.51
  5. Step 5: Solve for x
    x = 12,954,236.51/5,359.76
  6. Step 6: Final answer
    x = 2,416.94

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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.