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Finding the Fourth Proportional to 4,156.04, 6,235.02 and 1,382.60

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Solution

The fourth proportional to 4,156.04, 6,235.02 and 1,382.60 is: 2,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.04 : 6,235.02 = 1,382.60 : x
  2. Step 2: Convert to fraction form
    4,156.04/6,235.02 = 1,382.60/x
  3. Step 3: Cross multiply
    4,156.04x = 6,235.02 × 1,382.60
  4. Step 4: Simplify right side
    4,156.04x = 8,620,538.65
  5. Step 5: Solve for x
    x = 8,620,538.65/4,156.04
  6. Step 6: Final answer
    x = 2,074.22

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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.