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Finding the Fourth Proportional to 6,005.16, 8,288.60 and 3,648.87

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Solution

The fourth proportional to 6,005.16, 8,288.60 and 3,648.87 is: 5,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.16 : 8,288.60 = 3,648.87 : x
  2. Step 2: Convert to fraction form
    6,005.16/8,288.60 = 3,648.87/x
  3. Step 3: Cross multiply
    6,005.16x = 8,288.60 × 3,648.87
  4. Step 4: Simplify right side
    6,005.16x = 30,244,005.64
  5. Step 5: Solve for x
    x = 30,244,005.64/6,005.16
  6. Step 6: Final answer
    x = 5,036.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.