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Finding the Fourth Proportional to 3,478.07, 5,210.16 and 2,090.66

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Solution

The fourth proportional to 3,478.07, 5,210.16 and 2,090.66 is: 3,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.07 : 5,210.16 = 2,090.66 : x
  2. Step 2: Convert to fraction form
    3,478.07/5,210.16 = 2,090.66/x
  3. Step 3: Cross multiply
    3,478.07x = 5,210.16 × 2,090.66
  4. Step 4: Simplify right side
    3,478.07x = 10,892,673.11
  5. Step 5: Solve for x
    x = 10,892,673.11/3,478.07
  6. Step 6: Final answer
    x = 3,131.82

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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.