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Finding the Fourth Proportional to 3,513.64, 5,271.22 and 1,048.66

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Solution

The fourth proportional to 3,513.64, 5,271.22 and 1,048.66 is: 1,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.64 : 5,271.22 = 1,048.66 : x
  2. Step 2: Convert to fraction form
    3,513.64/5,271.22 = 1,048.66/x
  3. Step 3: Cross multiply
    3,513.64x = 5,271.22 × 1,048.66
  4. Step 4: Simplify right side
    3,513.64x = 5,527,691.21
  5. Step 5: Solve for x
    x = 5,527,691.21/3,513.64
  6. Step 6: Final answer
    x = 1,573.21

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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.