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Finding the Fourth Proportional to 4,409.16, 6,611.82 and 3,432.84

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Solution

The fourth proportional to 4,409.16, 6,611.82 and 3,432.84 is: 5,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.16 : 6,611.82 = 3,432.84 : x
  2. Step 2: Convert to fraction form
    4,409.16/6,611.82 = 3,432.84/x
  3. Step 3: Cross multiply
    4,409.16x = 6,611.82 × 3,432.84
  4. Step 4: Simplify right side
    4,409.16x = 22,697,320.17
  5. Step 5: Solve for x
    x = 22,697,320.17/4,409.16
  6. Step 6: Final answer
    x = 5,147.77

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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.