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Finding the Fourth Proportional to 4,971.92, 6,852.80 and 4,258.64

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Solution

The fourth proportional to 4,971.92, 6,852.80 and 4,258.64 is: 5,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.92 : 6,852.80 = 4,258.64 : x
  2. Step 2: Convert to fraction form
    4,971.92/6,852.80 = 4,258.64/x
  3. Step 3: Cross multiply
    4,971.92x = 6,852.80 × 4,258.64
  4. Step 4: Simplify right side
    4,971.92x = 29,183,608.19
  5. Step 5: Solve for x
    x = 29,183,608.19/4,971.92
  6. Step 6: Final answer
    x = 5,869.69

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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.