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Finding the Fourth Proportional to 3,746.96, 5,172.02 and 2,419.64

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Solution

The fourth proportional to 3,746.96, 5,172.02 and 2,419.64 is: 3,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.96 : 5,172.02 = 2,419.64 : x
  2. Step 2: Convert to fraction form
    3,746.96/5,172.02 = 2,419.64/x
  3. Step 3: Cross multiply
    3,746.96x = 5,172.02 × 2,419.64
  4. Step 4: Simplify right side
    3,746.96x = 12,514,388.51
  5. Step 5: Solve for x
    x = 12,514,388.51/3,746.96
  6. Step 6: Final answer
    x = 3,339.88

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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.