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Finding the Fourth Proportional to 3,382.88, 5,070.83 and 1,409.65

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Solution

The fourth proportional to 3,382.88, 5,070.83 and 1,409.65 is: 2,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.88 : 5,070.83 = 1,409.65 : x
  2. Step 2: Convert to fraction form
    3,382.88/5,070.83 = 1,409.65/x
  3. Step 3: Cross multiply
    3,382.88x = 5,070.83 × 1,409.65
  4. Step 4: Simplify right side
    3,382.88x = 7,148,075.78
  5. Step 5: Solve for x
    x = 7,148,075.78/3,382.88
  6. Step 6: Final answer
    x = 2,113.02

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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.