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Finding the Fourth Proportional to 4,975.49, 7,457.01 and 2,511.02

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Solution

The fourth proportional to 4,975.49, 7,457.01 and 2,511.02 is: 3,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.49 : 7,457.01 = 2,511.02 : x
  2. Step 2: Convert to fraction form
    4,975.49/7,457.01 = 2,511.02/x
  3. Step 3: Cross multiply
    4,975.49x = 7,457.01 × 2,511.02
  4. Step 4: Simplify right side
    4,975.49x = 18,724,682.66
  5. Step 5: Solve for x
    x = 18,724,682.66/4,975.49
  6. Step 6: Final answer
    x = 3,763.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.