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Finding the Fourth Proportional to 3,775.81, 5,210.47 and 2,097.32

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Solution

The fourth proportional to 3,775.81, 5,210.47 and 2,097.32 is: 2,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.81 : 5,210.47 = 2,097.32 : x
  2. Step 2: Convert to fraction form
    3,775.81/5,210.47 = 2,097.32/x
  3. Step 3: Cross multiply
    3,775.81x = 5,210.47 × 2,097.32
  4. Step 4: Simplify right side
    3,775.81x = 10,928,052.29
  5. Step 5: Solve for x
    x = 10,928,052.29/3,775.81
  6. Step 6: Final answer
    x = 2,894.23

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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.