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Finding the Fourth Proportional to 4,097.40, 5,655.90 and 2,775.48

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Solution

The fourth proportional to 4,097.40, 5,655.90 and 2,775.48 is: 3,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.40 : 5,655.90 = 2,775.48 : x
  2. Step 2: Convert to fraction form
    4,097.40/5,655.90 = 2,775.48/x
  3. Step 3: Cross multiply
    4,097.40x = 5,655.90 × 2,775.48
  4. Step 4: Simplify right side
    4,097.40x = 15,697,837.33
  5. Step 5: Solve for x
    x = 15,697,837.33/4,097.40
  6. Step 6: Final answer
    x = 3,831.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.