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Finding the Fourth Proportional to 5,637.31, 7,782.03 and 3,752.23

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Solution

The fourth proportional to 5,637.31, 7,782.03 and 3,752.23 is: 5,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.31 : 7,782.03 = 3,752.23 : x
  2. Step 2: Convert to fraction form
    5,637.31/7,782.03 = 3,752.23/x
  3. Step 3: Cross multiply
    5,637.31x = 7,782.03 × 3,752.23
  4. Step 4: Simplify right side
    5,637.31x = 29,199,966.43
  5. Step 5: Solve for x
    x = 29,199,966.43/5,637.31
  6. Step 6: Final answer
    x = 5,179.77

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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.