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Finding the Fourth Proportional to 3,663.36, 5,051.52 and 2,419.20

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Solution

The fourth proportional to 3,663.36, 5,051.52 and 2,419.20 is: 3,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.36 : 5,051.52 = 2,419.20 : x
  2. Step 2: Convert to fraction form
    3,663.36/5,051.52 = 2,419.20/x
  3. Step 3: Cross multiply
    3,663.36x = 5,051.52 × 2,419.20
  4. Step 4: Simplify right side
    3,663.36x = 12,220,637.18
  5. Step 5: Solve for x
    x = 12,220,637.18/3,663.36
  6. Step 6: Final answer
    x = 3,335.91

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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.