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Finding the Fourth Proportional to 4,078.68, 6,117.99 and 2,130.42

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Solution

The fourth proportional to 4,078.68, 6,117.99 and 2,130.42 is: 3,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.68 : 6,117.99 = 2,130.42 : x
  2. Step 2: Convert to fraction form
    4,078.68/6,117.99 = 2,130.42/x
  3. Step 3: Cross multiply
    4,078.68x = 6,117.99 × 2,130.42
  4. Step 4: Simplify right side
    4,078.68x = 13,033,888.26
  5. Step 5: Solve for x
    x = 13,033,888.26/4,078.68
  6. Step 6: Final answer
    x = 3,195.61

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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.