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Finding the Fourth Proportional to 4,346.28, 5,995.22 and 3,210.80

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Solution

The fourth proportional to 4,346.28, 5,995.22 and 3,210.80 is: 4,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.28 : 5,995.22 = 3,210.80 : x
  2. Step 2: Convert to fraction form
    4,346.28/5,995.22 = 3,210.80/x
  3. Step 3: Cross multiply
    4,346.28x = 5,995.22 × 3,210.80
  4. Step 4: Simplify right side
    4,346.28x = 19,249,406.35
  5. Step 5: Solve for x
    x = 19,249,406.35/4,346.28
  6. Step 6: Final answer
    x = 4,428.94

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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.