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Finding the Fourth Proportional to 5,046.41, 7,570.00 and 1,348.56

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Solution

The fourth proportional to 5,046.41, 7,570.00 and 1,348.56 is: 2,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.41 : 7,570.00 = 1,348.56 : x
  2. Step 2: Convert to fraction form
    5,046.41/7,570.00 = 1,348.56/x
  3. Step 3: Cross multiply
    5,046.41x = 7,570.00 × 1,348.56
  4. Step 4: Simplify right side
    5,046.41x = 10,208,595.83
  5. Step 5: Solve for x
    x = 10,208,595.83/5,046.41
  6. Step 6: Final answer
    x = 2,022.94

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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.