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Finding the Fourth Proportional to 5,210.84, 7,179.90 and 4,576.52

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Solution

The fourth proportional to 5,210.84, 7,179.90 and 4,576.52 is: 6,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.84 : 7,179.90 = 4,576.52 : x
  2. Step 2: Convert to fraction form
    5,210.84/7,179.90 = 4,576.52/x
  3. Step 3: Cross multiply
    5,210.84x = 7,179.90 × 4,576.52
  4. Step 4: Simplify right side
    5,210.84x = 32,858,955.95
  5. Step 5: Solve for x
    x = 32,858,955.95/5,210.84
  6. Step 6: Final answer
    x = 6,305.88

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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.