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Finding the Fourth Proportional to 4,078.96, 6,117.53 and 1,614.33

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Solution

The fourth proportional to 4,078.96, 6,117.53 and 1,614.33 is: 2,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.96 : 6,117.53 = 1,614.33 : x
  2. Step 2: Convert to fraction form
    4,078.96/6,117.53 = 1,614.33/x
  3. Step 3: Cross multiply
    4,078.96x = 6,117.53 × 1,614.33
  4. Step 4: Simplify right side
    4,078.96x = 9,875,704.13
  5. Step 5: Solve for x
    x = 9,875,704.13/4,078.96
  6. Step 6: Final answer
    x = 2,421.13

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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.