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Finding the Fourth Proportional to 5,258.64, 7,249.08 and 4,413

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Solution

The fourth proportional to 5,258.64, 7,249.08 and 4,413 is: 6,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.64 : 7,249.08 = 4,413 : x
  2. Step 2: Convert to fraction form
    5,258.64/7,249.08 = 4,413/x
  3. Step 3: Cross multiply
    5,258.64x = 7,249.08 × 4,413
  4. Step 4: Simplify right side
    5,258.64x = 31,990,190.04
  5. Step 5: Solve for x
    x = 31,990,190.04/5,258.64
  6. Step 6: Final answer
    x = 6,083.36

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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.