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Finding the Fourth Proportional to 3,207.83, 4,812.41 and 1,358.93

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Solution

The fourth proportional to 3,207.83, 4,812.41 and 1,358.93 is: 2,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.83 : 4,812.41 = 1,358.93 : x
  2. Step 2: Convert to fraction form
    3,207.83/4,812.41 = 1,358.93/x
  3. Step 3: Cross multiply
    3,207.83x = 4,812.41 × 1,358.93
  4. Step 4: Simplify right side
    3,207.83x = 6,539,743.75
  5. Step 5: Solve for x
    x = 6,539,743.75/3,207.83
  6. Step 6: Final answer
    x = 2,038.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.