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Finding the Fourth Proportional to 4,002.96, 5,973.86 and 3,565.56

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Solution

The fourth proportional to 4,002.96, 5,973.86 and 3,565.56 is: 5,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.96 : 5,973.86 = 3,565.56 : x
  2. Step 2: Convert to fraction form
    4,002.96/5,973.86 = 3,565.56/x
  3. Step 3: Cross multiply
    4,002.96x = 5,973.86 × 3,565.56
  4. Step 4: Simplify right side
    4,002.96x = 21,300,138.43
  5. Step 5: Solve for x
    x = 21,300,138.43/4,002.96
  6. Step 6: Final answer
    x = 5,321.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.