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Finding the Fourth Proportional to 3,352.97, 5,031.76 and 1,506.16

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Solution

The fourth proportional to 3,352.97, 5,031.76 and 1,506.16 is: 2,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.97 : 5,031.76 = 1,506.16 : x
  2. Step 2: Convert to fraction form
    3,352.97/5,031.76 = 1,506.16/x
  3. Step 3: Cross multiply
    3,352.97x = 5,031.76 × 1,506.16
  4. Step 4: Simplify right side
    3,352.97x = 7,578,610.48
  5. Step 5: Solve for x
    x = 7,578,610.48/3,352.97
  6. Step 6: Final answer
    x = 2,260.27

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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.