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Finding the Fourth Proportional to 5,005.41, 7,504.07 and 2,085.90

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Solution

The fourth proportional to 5,005.41, 7,504.07 and 2,085.90 is: 3,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.41 : 7,504.07 = 2,085.90 : x
  2. Step 2: Convert to fraction form
    5,005.41/7,504.07 = 2,085.90/x
  3. Step 3: Cross multiply
    5,005.41x = 7,504.07 × 2,085.90
  4. Step 4: Simplify right side
    5,005.41x = 15,652,729.18
  5. Step 5: Solve for x
    x = 15,652,729.18/5,005.41
  6. Step 6: Final answer
    x = 3,127.16

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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.