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Finding the Fourth Proportional to 3,409.65, 4,703.73 and 2,214.55

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Solution

The fourth proportional to 3,409.65, 4,703.73 and 2,214.55 is: 3,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.65 : 4,703.73 = 2,214.55 : x
  2. Step 2: Convert to fraction form
    3,409.65/4,703.73 = 2,214.55/x
  3. Step 3: Cross multiply
    3,409.65x = 4,703.73 × 2,214.55
  4. Step 4: Simplify right side
    3,409.65x = 10,416,657.03
  5. Step 5: Solve for x
    x = 10,416,657.03/3,409.65
  6. Step 6: Final answer
    x = 3,055.05

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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.