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Finding the Fourth Proportional to 3,097.35, 4,646.07 and 2,478.20

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Solution

The fourth proportional to 3,097.35, 4,646.07 and 2,478.20 is: 3,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.35 : 4,646.07 = 2,478.20 : x
  2. Step 2: Convert to fraction form
    3,097.35/4,646.07 = 2,478.20/x
  3. Step 3: Cross multiply
    3,097.35x = 4,646.07 × 2,478.20
  4. Step 4: Simplify right side
    3,097.35x = 11,513,867.44
  5. Step 5: Solve for x
    x = 11,513,867.44/3,097.35
  6. Step 6: Final answer
    x = 3,717.33

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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.