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Finding the Fourth Proportional to 5,005.60, 6,905.28 and 3,238.72

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Solution

The fourth proportional to 5,005.60, 6,905.28 and 3,238.72 is: 4,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.60 : 6,905.28 = 3,238.72 : x
  2. Step 2: Convert to fraction form
    5,005.60/6,905.28 = 3,238.72/x
  3. Step 3: Cross multiply
    5,005.60x = 6,905.28 × 3,238.72
  4. Step 4: Simplify right side
    5,005.60x = 22,364,268.44
  5. Step 5: Solve for x
    x = 22,364,268.44/5,005.60
  6. Step 6: Final answer
    x = 4,467.85

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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.