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Finding the Fourth Proportional to 3,409.86, 4,705.71 and 2,215.14

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Solution

The fourth proportional to 3,409.86, 4,705.71 and 2,215.14 is: 3,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.86 : 4,705.71 = 2,215.14 : x
  2. Step 2: Convert to fraction form
    3,409.86/4,705.71 = 2,215.14/x
  3. Step 3: Cross multiply
    3,409.86x = 4,705.71 × 2,215.14
  4. Step 4: Simplify right side
    3,409.86x = 10,423,806.45
  5. Step 5: Solve for x
    x = 10,423,806.45/3,409.86
  6. Step 6: Final answer
    x = 3,056.96

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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.