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Finding the Fourth Proportional to 5,775.64, 8,699.81 and 5,258.92

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Solution

The fourth proportional to 5,775.64, 8,699.81 and 5,258.92 is: 7,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.64 : 8,699.81 = 5,258.92 : x
  2. Step 2: Convert to fraction form
    5,775.64/8,699.81 = 5,258.92/x
  3. Step 3: Cross multiply
    5,775.64x = 8,699.81 × 5,258.92
  4. Step 4: Simplify right side
    5,775.64x = 45,751,604.81
  5. Step 5: Solve for x
    x = 45,751,604.81/5,775.64
  6. Step 6: Final answer
    x = 7,921.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.