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Finding the Fourth Proportional to 3,245.09, 4,868.31 and 1,053.65

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Solution

The fourth proportional to 3,245.09, 4,868.31 and 1,053.65 is: 1,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.09 : 4,868.31 = 1,053.65 : x
  2. Step 2: Convert to fraction form
    3,245.09/4,868.31 = 1,053.65/x
  3. Step 3: Cross multiply
    3,245.09x = 4,868.31 × 1,053.65
  4. Step 4: Simplify right side
    3,245.09x = 5,129,470.49
  5. Step 5: Solve for x
    x = 5,129,470.49/3,245.09
  6. Step 6: Final answer
    x = 1,580.69

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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.