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Finding the Fourth Proportional to 5,308.62, 7,301.54 and 4,258.38

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Solution

The fourth proportional to 5,308.62, 7,301.54 and 4,258.38 is: 5,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.62 : 7,301.54 = 4,258.38 : x
  2. Step 2: Convert to fraction form
    5,308.62/7,301.54 = 4,258.38/x
  3. Step 3: Cross multiply
    5,308.62x = 7,301.54 × 4,258.38
  4. Step 4: Simplify right side
    5,308.62x = 31,092,731.91
  5. Step 5: Solve for x
    x = 31,092,731.91/5,308.62
  6. Step 6: Final answer
    x = 5,857.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.