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Finding the Fourth Proportional to 5,238.31, 7,860.02 and 2,465.26

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Solution

The fourth proportional to 5,238.31, 7,860.02 and 2,465.26 is: 3,699.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.31 : 7,860.02 = 2,465.26 : x
  2. Step 2: Convert to fraction form
    5,238.31/7,860.02 = 2,465.26/x
  3. Step 3: Cross multiply
    5,238.31x = 7,860.02 × 2,465.26
  4. Step 4: Simplify right side
    5,238.31x = 19,376,953.61
  5. Step 5: Solve for x
    x = 19,376,953.61/5,238.31
  6. Step 6: Final answer
    x = 3,699.08

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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.