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Finding the Fourth Proportional to 3,504.36, 5,254.71 and 1,038.87

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Solution

The fourth proportional to 3,504.36, 5,254.71 and 1,038.87 is: 1,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.36 : 5,254.71 = 1,038.87 : x
  2. Step 2: Convert to fraction form
    3,504.36/5,254.71 = 1,038.87/x
  3. Step 3: Cross multiply
    3,504.36x = 5,254.71 × 1,038.87
  4. Step 4: Simplify right side
    3,504.36x = 5,458,960.58
  5. Step 5: Solve for x
    x = 5,458,960.58/3,504.36
  6. Step 6: Final answer
    x = 1,557.76

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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.