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Finding the Fourth Proportional to 3,076.47, 4,611.95 and 1,432.12

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Solution

The fourth proportional to 3,076.47, 4,611.95 and 1,432.12 is: 2,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.47 : 4,611.95 = 1,432.12 : x
  2. Step 2: Convert to fraction form
    3,076.47/4,611.95 = 1,432.12/x
  3. Step 3: Cross multiply
    3,076.47x = 4,611.95 × 1,432.12
  4. Step 4: Simplify right side
    3,076.47x = 6,604,865.83
  5. Step 5: Solve for x
    x = 6,604,865.83/3,076.47
  6. Step 6: Final answer
    x = 2,146.90

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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.