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Finding the Fourth Proportional to 5,201.05, 7,799.21 and 1,502.40

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Solution

The fourth proportional to 5,201.05, 7,799.21 and 1,502.40 is: 2,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.05 : 7,799.21 = 1,502.40 : x
  2. Step 2: Convert to fraction form
    5,201.05/7,799.21 = 1,502.40/x
  3. Step 3: Cross multiply
    5,201.05x = 7,799.21 × 1,502.40
  4. Step 4: Simplify right side
    5,201.05x = 11,717,506.09
  5. Step 5: Solve for x
    x = 11,717,506.09/5,201.05
  6. Step 6: Final answer
    x = 2,252.91

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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.