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Finding the Fourth Proportional to 3,516.64, 4,852.64 and 2,024.48

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Solution

The fourth proportional to 3,516.64, 4,852.64 and 2,024.48 is: 2,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.64 : 4,852.64 = 2,024.48 : x
  2. Step 2: Convert to fraction form
    3,516.64/4,852.64 = 2,024.48/x
  3. Step 3: Cross multiply
    3,516.64x = 4,852.64 × 2,024.48
  4. Step 4: Simplify right side
    3,516.64x = 9,824,089.82
  5. Step 5: Solve for x
    x = 9,824,089.82/3,516.64
  6. Step 6: Final answer
    x = 2,793.60

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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.