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Finding the Fourth Proportional to 3,647.71, 5,032.26 and 2,386.57

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Solution

The fourth proportional to 3,647.71, 5,032.26 and 2,386.57 is: 3,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.71 : 5,032.26 = 2,386.57 : x
  2. Step 2: Convert to fraction form
    3,647.71/5,032.26 = 2,386.57/x
  3. Step 3: Cross multiply
    3,647.71x = 5,032.26 × 2,386.57
  4. Step 4: Simplify right side
    3,647.71x = 12,009,840.75
  5. Step 5: Solve for x
    x = 12,009,840.75/3,647.71
  6. Step 6: Final answer
    x = 3,292.43

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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.