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Finding the Fourth Proportional to 4,232.51, 5,852.01 and 3,707.03

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Solution

The fourth proportional to 4,232.51, 5,852.01 and 3,707.03 is: 5,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.51 : 5,852.01 = 3,707.03 : x
  2. Step 2: Convert to fraction form
    4,232.51/5,852.01 = 3,707.03/x
  3. Step 3: Cross multiply
    4,232.51x = 5,852.01 × 3,707.03
  4. Step 4: Simplify right side
    4,232.51x = 21,693,584.31
  5. Step 5: Solve for x
    x = 21,693,584.31/4,232.51
  6. Step 6: Final answer
    x = 5,125.47

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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.