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Finding the Fourth Proportional to 3,924.48, 5,886.72 and 1,616.64

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Solution

The fourth proportional to 3,924.48, 5,886.72 and 1,616.64 is: 2,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.48 : 5,886.72 = 1,616.64 : x
  2. Step 2: Convert to fraction form
    3,924.48/5,886.72 = 1,616.64/x
  3. Step 3: Cross multiply
    3,924.48x = 5,886.72 × 1,616.64
  4. Step 4: Simplify right side
    3,924.48x = 9,516,707.02
  5. Step 5: Solve for x
    x = 9,516,707.02/3,924.48
  6. Step 6: Final answer
    x = 2,424.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.