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Finding the Fourth Proportional to 5,461.68, 8,193.12 and 1,952.51

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Solution

The fourth proportional to 5,461.68, 8,193.12 and 1,952.51 is: 2,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.68 : 8,193.12 = 1,952.51 : x
  2. Step 2: Convert to fraction form
    5,461.68/8,193.12 = 1,952.51/x
  3. Step 3: Cross multiply
    5,461.68x = 8,193.12 × 1,952.51
  4. Step 4: Simplify right side
    5,461.68x = 15,997,107.77
  5. Step 5: Solve for x
    x = 15,997,107.77/5,461.68
  6. Step 6: Final answer
    x = 2,928.97

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.