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Finding the Fourth Proportional to 4,611.76, 6,915.60 and 1,324.10

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Solution

The fourth proportional to 4,611.76, 6,915.60 and 1,324.10 is: 1,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.76 : 6,915.60 = 1,324.10 : x
  2. Step 2: Convert to fraction form
    4,611.76/6,915.60 = 1,324.10/x
  3. Step 3: Cross multiply
    4,611.76x = 6,915.60 × 1,324.10
  4. Step 4: Simplify right side
    4,611.76x = 9,156,945.96
  5. Step 5: Solve for x
    x = 9,156,945.96/4,611.76
  6. Step 6: Final answer
    x = 1,985.56

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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.