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Finding the Fourth Proportional to 3,506.72, 5,258.28 and 1,041.23

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Solution

The fourth proportional to 3,506.72, 5,258.28 and 1,041.23 is: 1,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.72 : 5,258.28 = 1,041.23 : x
  2. Step 2: Convert to fraction form
    3,506.72/5,258.28 = 1,041.23/x
  3. Step 3: Cross multiply
    3,506.72x = 5,258.28 × 1,041.23
  4. Step 4: Simplify right side
    3,506.72x = 5,475,078.88
  5. Step 5: Solve for x
    x = 5,475,078.88/3,506.72
  6. Step 6: Final answer
    x = 1,561.31

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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.