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Finding the Fourth Proportional to 3,906.51, 5,386.14 and 2,578.11

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Solution

The fourth proportional to 3,906.51, 5,386.14 and 2,578.11 is: 3,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.51 : 5,386.14 = 2,578.11 : x
  2. Step 2: Convert to fraction form
    3,906.51/5,386.14 = 2,578.11/x
  3. Step 3: Cross multiply
    3,906.51x = 5,386.14 × 2,578.11
  4. Step 4: Simplify right side
    3,906.51x = 13,886,061.40
  5. Step 5: Solve for x
    x = 13,886,061.40/3,906.51
  6. Step 6: Final answer
    x = 3,554.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.