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Finding the Fourth Proportional to 2,572.41, 3,858.62 and 2,002.17

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Solution

The fourth proportional to 2,572.41, 3,858.62 and 2,002.17 is: 3,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.41 : 3,858.62 = 2,002.17 : x
  2. Step 2: Convert to fraction form
    2,572.41/3,858.62 = 2,002.17/x
  3. Step 3: Cross multiply
    2,572.41x = 3,858.62 × 2,002.17
  4. Step 4: Simplify right side
    2,572.41x = 7,725,603.19
  5. Step 5: Solve for x
    x = 7,725,603.19/2,572.41
  6. Step 6: Final answer
    x = 3,003.26

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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.