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Finding the Fourth Proportional to 5,240.97, 7,858.95 and 2,465.31

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Solution

The fourth proportional to 5,240.97, 7,858.95 and 2,465.31 is: 3,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.97 : 7,858.95 = 2,465.31 : x
  2. Step 2: Convert to fraction form
    5,240.97/7,858.95 = 2,465.31/x
  3. Step 3: Cross multiply
    5,240.97x = 7,858.95 × 2,465.31
  4. Step 4: Simplify right side
    5,240.97x = 19,374,748.02
  5. Step 5: Solve for x
    x = 19,374,748.02/5,240.97
  6. Step 6: Final answer
    x = 3,696.79

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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.