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Finding the Fourth Proportional to 3,643.18, 5,028.02 and 2,071.51

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Solution

The fourth proportional to 3,643.18, 5,028.02 and 2,071.51 is: 2,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.18 : 5,028.02 = 2,071.51 : x
  2. Step 2: Convert to fraction form
    3,643.18/5,028.02 = 2,071.51/x
  3. Step 3: Cross multiply
    3,643.18x = 5,028.02 × 2,071.51
  4. Step 4: Simplify right side
    3,643.18x = 10,415,593.71
  5. Step 5: Solve for x
    x = 10,415,593.71/3,643.18
  6. Step 6: Final answer
    x = 2,858.93

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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.