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Finding the Fourth Proportional to 3,604.16, 4,973.28 and 2,032.64

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Solution

The fourth proportional to 3,604.16, 4,973.28 and 2,032.64 is: 2,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.16 : 4,973.28 = 2,032.64 : x
  2. Step 2: Convert to fraction form
    3,604.16/4,973.28 = 2,032.64/x
  3. Step 3: Cross multiply
    3,604.16x = 4,973.28 × 2,032.64
  4. Step 4: Simplify right side
    3,604.16x = 10,108,887.86
  5. Step 5: Solve for x
    x = 10,108,887.86/3,604.16
  6. Step 6: Final answer
    x = 2,804.78

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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.