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Finding the Fourth Proportional to 3,718.36, 5,577.51 and 945.03

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Solution

The fourth proportional to 3,718.36, 5,577.51 and 945.03 is: 1,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.36 : 5,577.51 = 945.03 : x
  2. Step 2: Convert to fraction form
    3,718.36/5,577.51 = 945.03/x
  3. Step 3: Cross multiply
    3,718.36x = 5,577.51 × 945.03
  4. Step 4: Simplify right side
    3,718.36x = 5,270,914.28
  5. Step 5: Solve for x
    x = 5,270,914.28/3,718.36
  6. Step 6: Final answer
    x = 1,417.54

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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.