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Finding the Fourth Proportional to 5,906.60, 8,148.02 and 4,788.84

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Solution

The fourth proportional to 5,906.60, 8,148.02 and 4,788.84 is: 6,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.60 : 8,148.02 = 4,788.84 : x
  2. Step 2: Convert to fraction form
    5,906.60/8,148.02 = 4,788.84/x
  3. Step 3: Cross multiply
    5,906.60x = 8,148.02 × 4,788.84
  4. Step 4: Simplify right side
    5,906.60x = 39,019,564.10
  5. Step 5: Solve for x
    x = 39,019,564.10/5,906.60
  6. Step 6: Final answer
    x = 6,606.10

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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.