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Finding the Fourth Proportional to 4,276.40, 6,404.40 and 2,078.06

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Solution

The fourth proportional to 4,276.40, 6,404.40 and 2,078.06 is: 3,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.40 : 6,404.40 = 2,078.06 : x
  2. Step 2: Convert to fraction form
    4,276.40/6,404.40 = 2,078.06/x
  3. Step 3: Cross multiply
    4,276.40x = 6,404.40 × 2,078.06
  4. Step 4: Simplify right side
    4,276.40x = 13,308,727.46
  5. Step 5: Solve for x
    x = 13,308,727.46/4,276.40
  6. Step 6: Final answer
    x = 3,112.13

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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.