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Finding the Fourth Proportional to 5,288.81, 7,886.54 and 5,241.35

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Solution

The fourth proportional to 5,288.81, 7,886.54 and 5,241.35 is: 7,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.81 : 7,886.54 = 5,241.35 : x
  2. Step 2: Convert to fraction form
    5,288.81/7,886.54 = 5,241.35/x
  3. Step 3: Cross multiply
    5,288.81x = 7,886.54 × 5,241.35
  4. Step 4: Simplify right side
    5,288.81x = 41,336,149.25
  5. Step 5: Solve for x
    x = 41,336,149.25/5,288.81
  6. Step 6: Final answer
    x = 7,815.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.